You're confusing two things.

The aboriginal peoples of North and South America (the continents) are descendents of Asiatic people who crossed the Bering Strait from Asia during the last ice age. That was over 10,000 years ago.

These include, but aren't limited to, the Canadian First Nations - both inland and Inuit, many nations of Native Americans in North America, and in South America, the peoples of the Amazon, the Maya (who still exist), the Incas, Aztecs and so on.

Then, from roughly 500 years ago and then for a century or three, there has been a significant amount of admixture both genetically and culturally with Hispanic colonists that came over the Atlantic from Europe.