Your question is a good one as there are many medication
interactions which can make drugs work less well or increase the risk of side effects. Fortunately, these are not common for most of the drugs used for PEP. there are no interactions I am aware of between Prozac and the medications you mention.
Parenthetically, one way to minimize the likelihood that uncommon medication interactions is to make sure that you are using the same pharmacy to get your prescriptions filled.