You know how cops are always busting people with houses full of marijuana plants? What if you did all of that but with potatoes instead of marijuana? What if you had an entire house full of grow lights and potato plants in buckets and then every inch of lawn on your property had potatoes and not a single blade of grass?
Would anyone care? Would the cops come along and put a stop to it? If not, how many more potatoes would you have to grow before something like that happened?
As long as you don’t live under the oppressive thumb of an HOA or city lawn ordinances, you can grow as many potatoes as is physically possible within your available space.
But when you run out of practical space, you will probably think about going vertical. But building tall structures without planning permission or city approval is likely where you will run into trouble.