Nope, Britain attempted colonization at James town prior to the arrival of the puritans on the mayflower and it failed. The puritans however actually succeeded in a independent grass roots enterprise completely divorced from britain. To be sure the crown followed and imposed many of the things that the puritans had fled to begin with. But again, you were wrong, North America was NEVER a British territory.
Oh, and lol, the Caribbean was colonized by the British, but 1 can’t believe that 1 have to explain the difference between North America and the Caribbean islands.