I had a snazzy reply and was getting links, cases and references together but it's not worth it even on this lazy afternoon.
Since there seems to be some confusion about "he" if you're referring to some hypothetical guy who doesn't really exist then sure. Assuming he owns his airplane. Assuming he doens't carry passengers. Assuming he's not flying over someone elses property. Assuming a lot of things.
If you're referring to cpxxx's love muffin associate then not only is it no, it's hell no.
The legal text is clear and unambiguous. "No person may operate an aircraft in a careless or reckless manner so as to endanger the life or property of another."
The limit of the law is: "Aircraft operations for the purpose of air navigation."
The prohibition part of the law is: "No person may operate an aircraft in a careless or reckless manner"
The law's legal definition of "a careless or reckless manner" is: "To endanger the life or property of another."
As long as he's outside of controlled airspace and endangers no one but himself and his own property he can do pretty much whatever he wants.