It did, but the other way around. French people had a lot of influence in the last centuries from their proximity with other European countries, while Québec was secluded and resisted the english assimilation, that’s why the accent varies a lot. So french canadians speak a french somewhat closer to the language spoken centuries ago than modern French people do.
Compared to american and traditional english, there aren’t as many words that are written differently, as french is more “organised” as a language, so there generally isn’t a need for a distinction. Most differences are a matter of pronunciation. In the end, it’s all the same language, even if a few words are sometimes used differently.