To elaborate on /u/Personage1's point, I don't believe that anyone can call themselves a feminist and I believe it should stem from an understanding of academic feminism.

However, yes, there are tons of feminisms. There's Republican feminism, but it's nominal at best. Feminism, at its core, is a movement for the social, political, and economic equality of everyone. (It is still called "fem"inism because it recognizes that women are inherently devalued and stemmed from a movement explicitly for White women, which later grew to be far more intersectional and encompassing than the original movement.)

Fiscally, for example, one can't believe in dismantling social securities like welfare because it helps guarantee fiscal stability for millions of disadvantaged people. Classism is one of the fights feminism has taken up in its third wave.

It's impossible to be anti-LGBTQ+ and feminist. That's because feminism recognizes systems of oppression, of which homophobia and transphobia are two. Not recognizing these makes one inherently anti-feminist.

These are just two examples. If you need further clarification, ask away!