Would this be considered a form of prostitution?

By definition, prostitution is: the act or practice of engaging in promiscuous sexual relations especially for money. Therefore, simply offering a date to the prom is not prostitution.

Ultimately, you must decide what is best for you. If you do not see anything wrong with it, then by all means, pursue that opportunity. What you are offering, from the details you described, is not prostitution; and, is legal.

No, it would not be considered as prostitution since all you are offering is a date. It would be kind of like those escort services. The client is paying for the companionship as oppose to a sexual act, which in that case would be illegal in most places.