Is it possible to be friends with everyone?

I have a friend who has an obsession with being friends with everyone. I’ve assured her several times that it’s close to impossible to be friends with everyone. We all simply don’t mesh with each other for a variety of reasons. Do you think it’s possible to be friends or friendly with ALL people? Lately, I’ve been trying to branch out in my social life to appeal to all types of people, but it’s challenging.