Can Too Many Finance Internships Hurt You for Entry Level Positions?
Obviously in most case the answer is no. However, the answer is not always no. For instance, I know someone with a banking and PE internship with a 3.9GPA from a semi-target. When he applied to rx consulting positions, MDs looked at him very skeptically and said things like "you have a lot of great experience why are you interviewing here?" This is not to say this guy got rejected for having a good resume, but clearly despite having great experience for the position, seniors did not view him as a fit and labeled him as a banking guy. In essence, his experience made fit interviews more challenging since MDs perceived him as not a fit. It is still possible to convince MDs you are a fit, but it would have been easier if this guy did not have those internships since MDs would not have initially perceived him as a banking guy.
I have also heard stories of people getting rejected by banks for having too many PE internships. The banks were looking for someone who might stay on as an associate, and nothing says I want PE than doing several PE internships. I also have heard of people with IB profiles getting rejected from valuation positions since they feared the person would jump to IB asap. In all these cases, having lots of relevant internships that are not in the exact same field backfired since they cause interviewers to label you. First impressions matter in interviews and getting perceived as not a fit once the interview begins makes it difficult to land an offer. If you fear you could get labeled, make sure to not do too many internships in related fields.