Is it appropriate to contact my recruiter about recommending a talented classmate?

I hope this isn’t a silly question, but I’m still learning the ropes of business etiquette. I recently secured an internship for next summer and have a gifted classmate who is looking for similar opportunities. Would it be acceptable to reach out to my recruiter to see if I could connect her with my friend? I’m not sure if my position as a future intern carries any weight, and I don’t want to come off as bothersome. Any advice or insights would be greatly appreciated!