Scholarships exceeding COA?

Currently I have no outside scholarships. So I recently got accepted into UCSD with the chancellor associate scholarship and that scholarship combine with federal and cal grant cover the whole cost of attendance. Can I still apply for outside scholarships so I can receive even more money or would they refuse to give it to me since all my necessary college expense is paid for bu the school I’m planning to attend?

What does your current package include coverage for? Books? Computer? Personal expenses? Travel to and from home? Or does it only cover tuition, fees, housing, and meals?

Often outside scholarships will reduce institutional grants. So take this question to the financial aid people at UCSD.