My MA MFT had any of our classes that overlapped with the university's school counseling program at night because their presumption was that many people re-specialize as school counselors while still teaching, coaching, etc. Any classes just taken by MFTs or LMHCs/LPCs were in the morning/afternoon which led to 10am-9pm days a couple of semesters which was awful. I don't know if this is common though.
It can be different from one university to another. The program that I`ve attended for my Master`s was for the most part in the evening and night at a private and elite school in the country. I did have some morning classes. In my Ph.D. it was all day classes from morning until late evening. Colleges tend to schedule classes at evening though.