That is all going to depend on what is around you. I doubt you'll find a worthwhile job you can do part time from home. Most colleges have job departments that can help students find work. Those are helpful because they know you're not going to be able to work fulltime.

Are work from home tech support jobs a pipedream as well? I imagine the pay isn't very good.

Yeah, that's not happening, not at a 1st world salary. Unless you're a consultant and have a home office, nearly all work from home stuff is false hope.