Just to get this out of the way, a 'chakra' isn't actually a physical thing that is unlocked, it's simply a term used when someone takes in a large concentration of aether lingering in the world (left there when people die, especially in violent/dramatic ways or in large numbers) and increases their own personal aether capacity. To handle this increase, the recipient's body and mind must be trained in very specific, very strenuous ways or they simply won't be able to 'unlock' that 'chakra'. To actually control the 'chakras' once they're unlocked, that's where the Monk/Fists of Rhalgr training comes in, as a lot of training and concentration is needed to manipulate one's internal aether, even more the case once that aether has increased in quantity.
As for the possibility of Othard having some Monks in it, I think we need to take a look at the most basic detail here: why would a Monk wish to go there?
For starters, the Monks were getting very involved in politics in Gyr Abania before they were almost wiped out, and it doesn't seem likely that any of them would want to leave, especially due to the nature of their religion (and it is a religion, at its core), which is to increase their power in hopes of reaching the heights of their deity, Rhalgr. More of that later, but for now we'll stick to politics. Ala Mhigo warred with the other city states for years, and Ala Mhigans now, even 80 years after the Autumn War, are considered a warring race. Would it be possible for a Mhigan to not have any prejudices against other city states/countries? Perhaps. Is it likely? No.
Now, on to the actual Fists of Rhalgr/Monks and how their 'powers' work. I mentioned earlier that Monks 'unlock their chakras' via areas where a lot of violent, dramatic deaths happen. Gyr Abania is the perfect place for this, and any mentally competent Monk wouldn't want to leave such an ideal place for them to grow stronger. Othard might have its violent areas, and I'm sure with clans like the Dotharl lurking there's a decent amount of lingering aether around. However, I highly doubt this would be a good enough reason for a Monk to move from a perfect location to a sub-par one. Also lacking in Othard, at least from what I can tell from the lore Google has provided me, is a worship of Rhalgr, which is one of the core tenets of the Fists/Monks' life. This goes double for the time when Monks are most likely to have left Ala Mhigo...
When the King of Ruin tried, and almost succeeded, to wipe out the Monks, any who survived the purge would've fled Gyr Abania. We're told that when the Garleans took over Ala Mhigo that most Highlanders (and by extension Mhigans in general) moved to Thanalan, hoping to cash in on the promised riches of Ul'dah. Now, we've already established that the religious aspects of the Monks were quite important to them, so while a place like Ul'dah isn't too ideal, it's no where near as bad as a place under Imperial rule. What was under Imperial rule at the time that the shadow sect Monks were banished, and when the remaining Monks would've fleed Theodoric's attack? Othard. A place where Garleans are in charge, meaning any Twelve worship is abhorred and banned. Not to mention there would be a strict order imposed on the citizens, so any kind of violent or dramatic deaths would be in places the average person, especially an immigrant, wouldn't be able to get to.
Overall, I find it extremely unlikely that a Monk/Fist of Rhalgr would wish to go to Othard, and it would be very special circumstances that someone native to Othard would receive Monk training unless they somehow managed to get in to Gyr Abania and convinced a temple to train them, which would be unlikely due to the aforementioned prejudice against outside races.
As for the possibility of Othard having some Monks in it, I think we need to take a look at the most basic detail here: why would a Monk wish to go there?
For starters, the Monks were getting very involved in politics in Gyr Abania before they were almost wiped out, and it doesn't seem likely that any of them would want to leave, especially due to the nature of their religion (and it is a religion, at its core), which is to increase their power in hopes of reaching the heights of their deity, Rhalgr. More of that later, but for now we'll stick to politics. Ala Mhigo warred with the other city states for years, and Ala Mhigans now, even 80 years after the Autumn War, are considered a warring race. Would it be possible for a Mhigan to not have any prejudices against other city states/countries? Perhaps. Is it likely? No.
Now, on to the actual Fists of Rhalgr/Monks and how their 'powers' work. I mentioned earlier that Monks 'unlock their chakras' via areas where a lot of violent, dramatic deaths happen. Gyr Abania is the perfect place for this, and any mentally competent Monk wouldn't want to leave such an ideal place for them to grow stronger. Othard might have its violent areas, and I'm sure with clans like the Dotharl lurking there's a decent amount of lingering aether around. However, I highly doubt this would be a good enough reason for a Monk to move from a perfect location to a sub-par one. Also lacking in Othard, at least from what I can tell from the lore Google has provided me, is a worship of Rhalgr, which is one of the core tenets of the Fists/Monks' life. This goes double for the time when Monks are most likely to have left Ala Mhigo...
When the King of Ruin tried, and almost succeeded, to wipe out the Monks, any who survived the purge would've fled Gyr Abania. We're told that when the Garleans took over Ala Mhigo that most Highlanders (and by extension Mhigans in general) moved to Thanalan, hoping to cash in on the promised riches of Ul'dah. Now, we've already established that the religious aspects of the Monks were quite important to them, so while a place like Ul'dah isn't too ideal, it's no where near as bad as a place under Imperial rule. What was under Imperial rule at the time that the shadow sect Monks were banished, and when the remaining Monks would've fleed Theodoric's attack? Othard. A place where Garleans are in charge, meaning any Twelve worship is abhorred and banned. Not to mention there would be a strict order imposed on the citizens, so any kind of violent or dramatic deaths would be in places the average person, especially an immigrant, wouldn't be able to get to.
Overall, I find it extremely unlikely that a Monk/Fist of Rhalgr would wish to go to Othard, and it would be very special circumstances that someone native to Othard would receive Monk training unless they somehow managed to get in to Gyr Abania and convinced a temple to train them, which would be unlikely due to the aforementioned prejudice against outside races.