Yes. I say this on account that there's a quest in Ishgard doing just that early on: Drinking the Pain Away.
http://i.imgur.com/RfmdIjI.png
http://i.imgur.com/5FD2rE6.png
This is the completed quest text, but this video actually gives all of the spoken text as well: https://www.youtube.com/watch?v=4nPAn7bmzLo
Also, the 2.0 MSQ also had something similar, though it was a heretic trying to get Haillenarte's house to fall for charges of heresy, and his was one of the four main houses of Ishgard, the Holy See doesn't seem to care who is charged, they will strip them of title and chuck them off of Witchdrop/torture them/whatever they feel (or in the quest's case, exile them.)
http://i.imgur.com/RfmdIjI.png
http://i.imgur.com/5FD2rE6.png
This is the completed quest text, but this video actually gives all of the spoken text as well: https://www.youtube.com/watch?v=4nPAn7bmzLo
Also, the 2.0 MSQ also had something similar, though it was a heretic trying to get Haillenarte's house to fall for charges of heresy, and his was one of the four main houses of Ishgard, the Holy See doesn't seem to care who is charged, they will strip them of title and chuck them off of Witchdrop/torture them/whatever they feel (or in the quest's case, exile them.)