You can be agender. It's asinine, in my opinion, because it has no meaning. But it is a commonly recognized gender identity in rad queer circles. You can also be "genderfree," but there was a thing with a GC feminist using genderfree to qualify for an LGBTQ+ award at her workplace. I think it's now considered a TERF dogwhistle. But as the GC feminist pointed out, she was just using workplace provided gender identity definitions. It arguably was trolling, but it was also sincere. Many of us are agender or genderfree. (presumably, there's a difference between those two terms, but I don't know what they are).

I'm agender by gender identity definitions. I occasionally debated coming out as agender when I was in super woke spaces because I was so uncomfortable by not knowing how saying I was a woman was interpreted. I felt like I was being coerced into this lie of having some essence of woman feeling in my soul. But instead, I peaked and am here.