I don't think it is possible not to care about anything at all, but I have lived for much of my adult life in an exisitence where nothing "moves" me. I can see and recognise distress or joy or happiness or sorrow in others, but it is impersonal and entirely the affair of the other person, I am without empathy. Having said that I can respect other people's wishes and needs and I accept that I don't have the right to hurt them because I am hurting. I can foresee that I will live the rest of my life feeling like this, but it is an emptiness rather than total apathy.