i would like to say NO. but all of us know that we give way and yield to what people have to think. we dress up a certain way ( if not then we do dress up), speak a certain way , behave in a certain manner, think in confirmation to societal norms and earn and spend and do stuff , in accordance to what is acceptable. so we do care, normally. but, there are times when we rebel and walk out of the normal trend, but we still are ARROGANT or ANGRY or OFF about the non acceptance part , because we care, we want to be accepted and when we are not , we get angry, or try to act indifferent.
a person who actually doesn't care, would be a person , who wouldn't even notice, that he is not accepted. by being unaware of his inacceptance he, prooves that HE himself has acccepted himself, and can't see what is inacceptable, in him.