get-down-ladies:

Yes, it exists.

sex·ism

noun

1.

attitudes or behavior based on traditional stereotypes of sexual roles.

2.

discrimination or devaluation based on a person’s sex,  as in restricted job opportunities; especially, such discrimination directed against women.

By claiming that men as a whole are to blame for rape, or that men cannot be feminists, you are being sexist. Sexism does not only encompass women, and it does not only hurt women.

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 If you have to say “reverse”, you’re already admitting to an institutionalized system that benefits men over women, i.e. the institutionalized misogyny that makes sexism against men not a thing. Men might face discrimination, but sexism is institutionalized. The fact that people feel the need to say “reverse” to describe sex or gender-based discrimination against men in the first place reveals the actuality of the oppressive force.

So no, “reverse sexism” is not actually a thing. Although with the notion of “reverse sexism”, you demonstrated quite clearly that ciscentrism is a thing. So congrats, I guess.