Yes, I mean you should use 'or' (not 'and') after a negative verb, for example, you say "I don't like football or basketball.", not "I don't like football and basketbll." - that is, 'or' means 'and not' here.
It's not uncommon for a learner to use 'and' in place of 'or' in a situation like that - I know they are trying to say they don't like both of them: both football and basketball.
It may have something to do with the so-called 'first language interference'.
However, you could use 'not A, nor