If an aesthetician does a superficial peel, which is an exfoliation, than you can decide whether to tip them or not. You should not have an aesthetician do Botox injections on you as that is a procedure that should only be done by a licensed provider.
This is called the unauthorized practice of medicine. Chemical peels are generally also considered a medical procedure. However, some of the most mild of peeling agents are permitted by some States. Generally however, it is far more reasonable to seek a medical professional (medical doctor) for this type of care. On the plus side, we don't mind if you don't tip us.