No, they do not. UCs as well as CSUs need only FAFSA.
If you want to minimize debt (even federal direct loans of $7,500 per year for junior and senior years), then the choices are likely:
- CSU that you can commute to.
- UC if you get a Regents' or similar scholarship that replaces some or all of the student loan and work expectation.
- CSU or UC otherwise if you earn a lot of money from summer and part time school year work.