Yes, I do think so.
The reason for this is that I think it would be likely that people born and raised in America would feel that Great Britain, which was far away and did not understand Americans' needs and situations, should not rule over them. So I feel that a similar struggle for independence would have happened anyway.
Every state was given equal representation
If they want to leave Europe, the thing that the pilgrims required to do is: D: Pledge loyalty to the king in return for passage to the New World
But knowing that the king have very little influence in the new world, many of the pilgrims that manage to get out actually form their own government and disregard the initial deal. One of the most famous colony that made by these people was called the Plymouth Colony,
The Indies played a great role in history. The land was originally home to the indigenous. After the trans-Atlantic expedition the Spanish settled in the indies area for the first 28 years taking over the land and people.