IRC the genetics don’t support that. It looks more like Polynesians originate from the area around Taiwan, sharing DNA with the indigenous Taiwanese. Again IRC there are some South American genes present in the Easter Island or Tahiti area, which seem to have been introduced pre-European contact. It’s tricky to tell though because there has been so much sharing of genetics since then. It looks like maybe some Polynesians went to South America one or a few times and returned.