Is Canada's history largely due to British immigrants to the United States who later discovered the Northern Territory and immigrated here?

Canada and the United States originally had aborigines respectively. Since Columbus discovered America, the number of European immigrants to America has greatly increased in the17-18th century. The United States and Canada were colonized by European countries such as Britain and France, and the aborigines were driven to marginal areas, and the number of European residents increased year by year. Although it got rid of colonial rule later, long-term immigration and trade exchanges led to the phenomenon of European residents. Part of the land in the United States was purchased from Canada in the19th century. For reference.