I currently work full time and go to school part time. Am I eligible to get a grant for an apartment?

Seriously doubt you will find a grant for your situation. Unemployment is high, foreclosure way up and the middle of a recession, the whole economy is bad but you are employed so better than the 13% who aren't

I doubt it too. But if you haven't already, you should fill out the fafsa and any other financial aid forms you can. You probably won't get a grant worth enough to rent an apartment but you might get money for school and might even have some left over to help pay rent. Worse case scenario you waste a little time filling out papers and don't get any aid. It can't hurt you