From what I understand, we don't really know the cause of perioral dermatitis- so as far as if it's possible, I couldn't say either way with complete confidence. What I can say though, is that it's very important to be in contact with the doctor that is treating your staph infection- they need to be aware of any additional symptoms you are having now and the changes so they can make adjustments to the treatment plan as needed. They should also know, just in case there is any links between the medications you are taking and the changes.