Living in Vermont this thread needs to be a ASB thread. The only way it would work would be for the English to have lost the French and Indian War.
I dont think it is, actually.
Ethan Allen and the green mountain boys did open lines of communication with the brits, with the idea that if they couldnt get vermont free within the us, they d do it outside the us.
Whether they would have carried through on the threat, i dont know. I could see it happening even if it wasnt meant, through escalating positions.
If they did get freed by the brits, then the brits would probably want them administratively in 'canada'. Now remember that canada and quebec are synonymous. So, yes, it could have been part of quebec.