Note that there are studies that suggest a possibility of polynesian peoples traveling to South America around 1200 CE.

pmc.ncbi.nlm.nih.gov/articles/PMC8939867/

Native American gene flow into Polynesia predating Easter Island settlement

The possibility of voyaging contact between prehistoric Polynesians and Native Americans has long intrigued researchers. Proponents have pointed to New World crops, such as the sweet potato and bottle gourd, found in the Polynesian archaeological ...

PubMed Central (PMC)