Hi, unfortunately removing the beard is not possible since I'd need to change also ALL the romance CG (if was just the character sprite that would be possible).
I'm going to update the game page with this information now, I didn't think it was a big matter but better tell people before they buy.
I know there's an user who said is working on a mod to make this possible (which means they would manually edit all the images). If they manage to do that I'd be happy to include it in the game.