Things don't work that that. If European settlers came in any large numbers, they would automatically have governments, and would be in competition with the American Indians for land and resources, leading to conflict.
Now, if only a tiny number of settlers came and their colony collapsed, it would be extremely plausible for the survivors to be absorbed into nearby tribes. The chief of the Powhatan Confederacy, when he first encountered the English at Jamestown, knew the value of iron tools and is known to have wanted to move the remaining starving colonists to one of his own towns and have them set up a smithy there (Being unaware at that time that more were going to come and never stop coming). Defeated refugees were also often adopted into tribes if they escaped being killed, and numerous tribes would have been likely to accept handfuls of stranded Europeans to help replenish their disease-decimated populations. (Perhaps being unaware that 1st-generation Europeans and Africans were the source of the diseases)
But that's not really the scenario you're proposing, because that would really just be a "No European colonization of the Americas" scenario. The scenario you're proposing is impossible, both because European settlers used land differently than Native Americans, and because it wouldn't matter even if they didn't. The settlers were intensive agriculturalists who fenced land off, divided it into plots, and raised livestock or crops on it year after year. The American Indians of the Northeast were also farmers, but they were sem-nomadic and hunting made up a crucial part of their food collection. Settlers living on their hunting grounds meant tribes couldn't use them. European colonists and Native Americans would be fighting over territory as soon as there were enough of the former to put pressure on any given tribe's land usage. Secondly, if for some odd reason European settlers entirely abandoned European methods of living and instead all adopted American Indian ways of life instead, they'd be competing over the exact same land and the exact same resources the native people were using.