Actually, the main thing that would block this at this point is that there is a Speaker Pro Tempore, and while he can't do much one of the few things he can do is keep the House in recess until a Republican has enough Republican votes to win the election.

So, even in the hypothetical case where there is a centrist Republican who can pull this off, that person will have to get Patrick to agree to open the House to hold the vote in the first place.