Scholarships are for ANYBODY, regardless of financial need. If you meet the terms of the scholarship (some are just for women, some for students studying a certain major, etc. They all have their own requirements), then you can apply.
When you get the scholarship application, it will list the requirements on it. And believe me, there are scholarships for everyone - EVERYONE! Some are for people that are cancer survivors, certain religions, moms going back to work after being home with kids - you name it, there is probably one for it.