It is very common that the students reach out to professors for a project to work on, or a position to learn something/gain experience/enrich your resumes.
I strongly strongly recommend students at least try to work on a project with your professor during your time in school. Paid or unpaind? Doesn’t matter! The intimate mentorship and up-to-date research work…you don’t usually get it anywhere else. I’m sure you can learn something from it.
Couple key “reminders” on how to approach a faculty member for the opportunity: