Is it possible to be overqualified?

I’m a rising senior applying for summer internships. I already have 5 internships on my resume

-one during freshman year spring —two during sophomore year fall (one was an on campus thing and the other an easy remote one) -one during sophomore spring -one the summer after sophomore year

It sounds like a lot, but only the summer one was a full time job. The others were max like 10 hours a week

I’ve been getting lots of rejections but I feel very confident in my experience. I will say that most of my experience is in music / sports / entertainment and I’m applying to all types of industries so maybe that’s why? But I’m studying marketing and feel like the skills are transferable