Ok first off I live with my mother I been living with her since I was a baby and I get social security but I don’t hold my own social security she holds it and I don’t get much from it can I still sign up for section8? Here

Yes but your mother must agree and work it out with HACLA. Or work with social security to be your own payee.

If you cannot handle your own financial responsibilities, you probably cannot be responsible for an apartment of your own. It's possible to apply with your mother if you combined income does not exceed the limits.