Double Major and minor

I’m applying as a junior to UChicago, and I want to double major in Economics and Psych and then minor in Music. Is that possible?

Any thing is possible. However, this is a pre-matured discussion.

First of all, UofC only accepts about 1% of Transfer applicants, if you were one of the few accepted, this discussion is more meaningful.
Second, it depends on your prior college credits. Most schools do not accept all the credits in transfer, you may have to set back upto a year to graduate. Check with Uof C first to find out if your goal is achievable. No one here can second guess what majors/minors you will be able to achieve.
Third, any majors/minors will require certain credits to be completed in their school. Again you have to check with Uof C about it.