Is it medically frowned upon to seek multiple procedures? Will I be denied surgery based on this alone?

The first thing is to go on consults and be evaluated . Doing multiple procedures is fine within reason. See what different surgeons have to say about your situation and where you might start if you can't have everything at once.

Seeking multiple procedures: I don’t think a plastic surgeon would be turned off by a person seeking multiple procedures as long as there was a sound aesthetic basis for those procedures. For example if one has a large nose, a small chin, bags under the eyes, excess fat of the abdomen excessively large breasts, etc. etc. it would be reasonable to see correction of those issues. The surgeon has the responsibility of determining how much surgery is safe to perform in one sitting and has the responsibility of recognizing whether or not what the patient is seeking is reasonable. If what the patient is seeking does not seem reasonable or the patient is seeking too many procedures at the same time, that would be cause for concern. But if the procedures the patient is seeking are called for in terms of the usual aesthetic norms, and the patient is willing to space them out into safe sessions overtime, there should be no problem.