Nancy, I'm not sure if you mean 5K price or with 5K down. If it's the first answer, then I would have to say no, not in Santa Rosa. If it's the second answer, then, I'm going to say yes, with the right loan and assistance from other parties. There are too many options to share with you, but here are two of ways you can do this:
1. FHA 3.5% down with seller credit towards closing costs and gift funds to make up your shortage
2. VA loan with zero down, seller credit, and possible gift funds
The best thing to do is to sit down with a mortgage professional with your goals and objectives.