Is there any way to patch an area that's being chipped off?
It doesn't need to look professional or anything, because the paint job isn't that nice in the first place.
Could I just buy a small can of car paint and put a little on those areas?
I don't care if it looks stupid, I'm just looking for the cheapest way to fix this problem for now.

 

YES! there are a 2 things to do:

#1: go to http://www.ppgcarpaint.com/ and search for your paint color. Get a touch up bottle, or a spray can.

#2: go to eastwood and get some of this http://www.eastwood.com/shopping/pro...roductID=10416

an hour or so later, you'll have a pretty good touch up job.