Sorry, there are two domesticable species native to the Americas: Llamas and turkeys. (Three if you count alpacas.)

However, the strategy to getting meat was different in a lot of the Americas. They didn't want the big, stinky animals living nearby, so they'd manage habitats for wild animals. Then they'd go there to capture them.

This is also why explorers weren't hit that hard by disease. By not having much exposure to diseases from animals, there weren't that many the indigenous peoples could give to the Europeans, but the European livestock gave a lot of diseases back.