Its all about the natural endowments every region has. You cant expect certain areas where people live to provide certain essencial produce all year around. Hence some is produced in greater amounts in that region.
With organic farming, in my opinion, if you are really doing it organic and build a good soil over time as well as fine tune for different crops etc plants do better, health wise, than with chemical fertelizers and soil gets depleted and sandy after 4 or 5 years. Its when it comes to pests and etc that it becomes tricky. Back in the day certain areas affected by some wheat plague could literally not have bread all year. This is especially tru when talking about staple produce, not to mention the staple produce of live stock.
In conclusion, i think its not possible, it would be but itd would require a shift in employment patterns and more people becoming vegetarian as well as well efficient local planning.