No.  The natives only claimed the land they were inhabiting and that which they used for hunting, burial, etc. At the time of European discovery (circa 1500 A.D.), the North American Indians numbered about 1 million inhabitants, sparsely scattered over what is now North America.  The Indians never had a legal claim to much more than 3% of the land at any one time. So it can be said that the Indians did have a legal claim to North America, 3% of it, which was considered their "own territory."