Well, we already are! Homo sapiens are animals. But otherwise, generally no.
Being a furry isn't about rejecting one's humanity. That's called being a misanthrope. (Or a therian, which is a different thing with some-- but not much-- overlap with the furry community. Most furries aren't therians, but a lot of therians are also furries.)
Furries know that we're humans. It's not about that (for most of us, anyway; there's a lot of furries in the world and with enough people the probability of there being at least that one guy skyrockets).
Being a furry is about:
- Appreciation of really amazing art and the people who create it
- Being part of a welcoming and diverse community
- Being friendly towards LGBTQIA+ people
I've long said that being a furry is a celebration of humanity. Some people disagree with my feelings on this subject, because their personal feelings differ, but that's okay. Diversity.