Yes, for things that are focussed on the individual (microblogging Mastodon, photo sharing Pixelfed) or anonymous (threadiverse Lemmy/Kbin)
It will take much longer for things that are more about your direct community or for family members. That’s not really a Fediverse thing, I don’t think a new Facebook could take off easily either. It’s really difficult to get grandma to learn something new, and in some countries Facebook IS the internet (because of shady dealings and anticompetitive practices)