Sure, but what is a “natural state”? Every single European nation’s population came from “somewhere else” and local settlements displaced others. The only real difference is that “it happened” longer ago than in the US, Canada or South America.Every nation-state is unnatural. The US is far more unnatural than India given that it is a settler colony where the indigenous population lives largely segregated and became minoritised through conquest and displacement, while the second biggest minority, Blacks, got there as a result of slavery. Not to mention that the US started out 10 times smaller than it is and now has territories as far as the Mariana Islands. To start calling India "unnatural" is simply to ignore such things.
In India, the populations of the various regions are very old and while populations within India did move around a fair amount, these populations are millennia-old. US populations are quite recent, comparatively speaking and came in waves, people looking for a better life in a new place where one’s own sweat could produce a great deal of future equity.
Some American natives do live on reservations. These reservations are like independent countries, not ruled by theFederal Government and not ruled by the states in which they are located. About the only thing they cannot do is have their own foreign policy. Most reservations are quite poor, or modest in income, but some are fairly wealthy. Many natives don’t live on reservations because their income opportunities - for the educated ones, to be sure - are far greater outside.
Since nearly everyone - excluding the natives - is from somewhere else and settlement began in the East Coast and gradually moved East to West in a continuous but variable wave, it is not surprising that the northeast coast cities were the gateways through which immigrants passed. There were also important gateways in New Orleans and Galveston on the US Gulf Coast.
So, yes, except for the nomadic tribes in North America - the numbers are unknown and disputed - the country appeared to be quite empty at the time of the initial white settlements.