The answer is no. According to the terms of the United Nations Treaty on Outer Space , signed by the United States and other nations in 1966, no country can own the moon. Former NASA astronaut Phillip Chapman, now with the Center for Enterprise in Space of Scottsdale, Ariz., said rules should be formulated governing the rights to lunar ice. Furthermore, the Lunar Prospector mission should not provide treasure maps for U.S. rivals in a possible cold rush. Very often there are differences as to who should own the property or whether the prices in a shop are too exorbitant.
Justice needs to be served.
At this point people design governments to ensure that justice based on reasonable laws which in turn are based upon the society's value system are enforced.