I doubt it, since at the various points it could have happened it's more likely Canada would become a province of a British North America Confederation or the like.
Earlier in history (before the SYW) perhaps if the Hugenots had been allowed to settle Canada, and Canada becomes a much larger Protestant French colony (with Acadia remaining Catholic?) I could see the British colonies of NA being annexed if Britain does really poorly, or if, say, Charles II decides to relocate to his one remaining loyal territory, Virginia, in the 1650's and the Republic never falls.
Actually, that would make a good timeline....
I considered during a Trent War TL a naval Captain assigned to the NY blockade finds that the city is effectively unguarded and decides to go for the prizes in the harbor, but this show of force brings about the long threatened NYC declaration of independence (as Tri-insula) and a request to become a British protectorate (
link).