In other words, is there a specific person who lived out his/her entire life in North America before European involvement, for whom there exists a written biography?
Because of the strong oral traditions in many Nations, it is difficult to find records of individuals, and the ones who do get recorded are those who have done something great, and they get wrapped into lessons and tales that it becomes hard to tell if the person existed at all.
Were you looking for a story of the life of someone, or how someone would have lived before European contact?
Well this may not fit your criteria very closely (or even at all, since his life was post-contact and you may or may not include Inuit in Canada under the term "Native North Americans"), but Peter Pitseolak wrote a memoir that may be of interest. He opens with stories of his father's life pre-contact, contact, and the impacts of contact throughout his own life. The book is People From Our Side: A Life Story with Photographs and Oral Biography, co-authored by Dorothy Harley Eber.