It's completely acceptable to give negative answers in part 1 of the speaking test. To test whether you can do this, try giving negative answers to the questions below. Keep your answers short and simple as usual. The first one is done as an example.
1) What type of photos do you like taking?
Well, I don't usually take photos to be honest. I prefer to enjoy whatever I'm doing, rather than stop to take a photograph.
2) What do you do with photos you take?
3) When you visit other places, do you take photos or buy postcards?
4) Do you like people taking photos of you?
(Questions taken from Cambridge IELTS book 11)