I'm pretty sure licensing requirements would make it impossible. In my state, just selling raw vegetables at a farmer's market requires jumping through hoops of paperwork and inspections. Selling any kind of prepared food requires more. Some products are practically impossible for anyone except a large company to get permission to produce. Your Etsy of food would have to find out how to get all of its vendors trained, inspected, licensed -- a different process in each state -- and probably have to provide them with practical help in the logistics of refrigerated shipping, etc. My suggestion would be to focus on one metro area only, rather than try to create a national-scale dotcom business.

Alternatively, become an activist and change agent in the political sphere, and try to get some of these barriers torn down.