Ask HN: Should I approach poorly made web sites with better designs?

I'm a college student and would love some extra money, and I have some experience with web development. Do you think it would be worthwhile to approach small companies and venues whose web sites appear outdated and poorly maintained with the offer of making them a new web site on the cheap? I'd love to get some feedback on this, and I wonder if it's already maybe done a lot already? Thanks!!