No, Bill is not stated or implied to be homosexual. Quite the opposite, in fact, as he’s said to be jealous with John as he was the one who ended up with the romantic partner Bill desired: Abigail.
I’ve heard people try and claim that Bill is homosexual before, saying, for example, that the fact he was remorseful of Kieran is proof that he’s gay. That’s nothing more than unsubstantiated speculation.