Nova Scotia perhaps, but not 'Canada' in the sense of the term at the time. From the point of view of the French Canadians, the leadup to the ARW went like this:
Quebec: Montcalm will protect us in the Seven Years' War!
Britain & American colonists: No he won't, Wolfe will huff and puff and blow Montcalm down!
Quebec: Crap!
American colonists: Cool, now we get to kill or drive away those damn French Papists and take their land for ourselves, like we did in Nova Scotia!
Britain: Actually, that would probably end in tears, so we're going to let them keep their religion, their legal structure and their land.
Quebec: Really?
American colonists: REALLY?!
Britain: And while we're at it, let's also give them half the land you thought YOU'D get in the Michigan area.
Quebec: Cool!
American colonists: WHAT.
So yeah, the French Canadians really have no reason to join the Americans in rebelling, not unless maybe it was later on and the Americans said that Quebec would go back to their ally France again if they won.