Could my mother take care of me, a 2nd disabled person, without me?

Legally, then hardly.

First of all, you need both an original and a copy of your passport to apply for care. Secondly, if you are a capable person, can be aware of your actions, but need care due to a health condition, your consent is required. Therefore, you also need to write a statement to appoint a person who will provide you with permanent care.