If you are in a Union employee position, then the answer is No.
If you are non-Union employee, the chances are much better.
But regardless, why would you care?
An internship looks good on your resume and increases the chances of getting a better job once out of school.
If you do a good job, UPS will most likely hire you back, when you you return from the internship.
If not, jobs at the UPS part-time pay rate are fairly easy to find.