Based on the scarce evidence, probably not. The only other clue would be the medical theme of the "Post Op" teaser, which could maybe imply a connection to the OG Bloody Face, Dr. Oliver Thredson. It’s pretty flimsy stuff, but someone should probably look into Zachary Quinto's next move.
Several regulars are returning
A number of recurring American Horror Story cast members have confirmed roles in the new season: Sarah Paulson, Lady Gaga, Evan Peters, Denis O'Hare, Angela Bassett, Matt Bomer, and Leslie Jordan are all definites. Yet they've offered scant details about their characters. The most information has come from Bassett, who told Entertainment Weekly that her character would "imbibe a little bit too much and yet [she is] also very intuitive and maybe Sarah [Paulson is] somehow the boss."