
Good question! Unfortunately, we don't know with any certainty yet!
Per the MSQ, the first Domans to arrive actually sailed south around Cape Deadwind (very treacherous sailing according to fishing lore) and looped back north to reach the Vesper coastline. Which can mean two things really: either there were no closer port cities on the Eastern coast of Eorzea, or that the MSQ plot was convenient if they docked on the Scion's front doorstep.
20 years ago, Ala Mhigo (or one of its hamlets) would've had a bustling port on the Eastern borders of Aldenard, however, since its fall to the Garleans, the Gyr Abania region has been mostly abandoned by Eorzeans. We may find in a future patch/expansion that there are still some Gyr Abanian villages which are fighting the Garleans as part of the Ala Mhigan Resistance. But we don't know.
Gridania is inland, too far from the Rothlyt Sound, but according to Fishing Lore, there are people who live in the Rothlyt Sound, so there may be a small port village in The Pearl or Mazlaya. But again, ultimately unconfirmed. Paglth'an, the region east of Thanalan is controlled by the Amalj'aa. And Ul'dah's only known in-game ports are Vesper Bay and Silver Bazaar/Crescent Cove, which are both run-down fishing villages. Silver Bazaar actually being an Ala Mhigan refugee village that got bought out by Ul'dahn development tycoons seeking to use the area for Ul'dah's elite mansions.
So, in short, no. All known Eorzean ports are on Aldenard's western coastline.
Per the MSQ, the first Domans to arrive actually sailed south around Cape Deadwind (very treacherous sailing according to fishing lore) and looped back north to reach the Vesper coastline. Which can mean two things really: either there were no closer port cities on the Eastern coast of Eorzea, or that the MSQ plot was convenient if they docked on the Scion's front doorstep.
20 years ago, Ala Mhigo (or one of its hamlets) would've had a bustling port on the Eastern borders of Aldenard, however, since its fall to the Garleans, the Gyr Abania region has been mostly abandoned by Eorzeans. We may find in a future patch/expansion that there are still some Gyr Abanian villages which are fighting the Garleans as part of the Ala Mhigan Resistance. But we don't know.
Gridania is inland, too far from the Rothlyt Sound, but according to Fishing Lore, there are people who live in the Rothlyt Sound, so there may be a small port village in The Pearl or Mazlaya. But again, ultimately unconfirmed. Paglth'an, the region east of Thanalan is controlled by the Amalj'aa. And Ul'dah's only known in-game ports are Vesper Bay and Silver Bazaar/Crescent Cove, which are both run-down fishing villages. Silver Bazaar actually being an Ala Mhigan refugee village that got bought out by Ul'dahn development tycoons seeking to use the area for Ul'dah's elite mansions.
So, in short, no. All known Eorzean ports are on Aldenard's western coastline.