I agree that the place of birth on the linked profiles is extremely suspect, but just for clarity It was the City of Quebec that was founded in 1608. The French began settlement attempts in what is now the province of Quebec, Canada as early as the 1530's.
While it is an even bigger stretch of the imagination, there were cases of indigenous North Americans being kidnapped by fishing fleets or explorers and taken back to Europe - the earliest I can find is a child kidnapped in 1524 and taken to France by Verrazzano (this kidnapping was much further South near modern day Virginia). The kidnapping victims were often given names common to the land they were taken to (France and England) and not being immune to the diseases of Europe usually had very short lives.
There were also indigenous North Americans who made the voyage willingly. Donnaconna and 9 others of his tribe returned to France with Cartier in 1536.