Who doesn't have access fresh food? Even the stores that cater to low income families still have some fresh produce and lots of canned or desiccated items. People work too much to buy food? Please...
I've lived in rural areas where there is one store, and it might be many miles away, and it is not well stocked. And the people who live in those rural areas are VERY poor.
Thanks to the feds who shut down all industry and development in those areas.
I currently live in such an area. Almost every home has a garden and/or livestock though. What doesn't get eaten by the humans helps feed the livestock or enrich the soil from which it came. Canning helps tremendously, as does dehydrating. Neighbors also tend to share/swap for the different items they don't produce. Even if they don't have any agricultural products there are still sought after skills and good 'ol elbow grease jobs that need done. Heck, it's hay season (yuck) right now. Lots of people need help baling. My point is, you can still get by in poor rural areas
and eat better than poor urban dwellers. It's not all doom and gloom.
I think "food stamps" are necessary. Many "us" don't live in communities (urban) where the people support one another this way. Nobody should go hungry in a modern food rich country.