Seeing as they were so close to the Polynesians, had at a minimum canoe technology, and had sailing peoples such as the Taino in the East, is there anything even suggesting that these peoples had crossed the oceans surrounding them? If so, for how long had they had the capability of doing that? Would it be possible that natives of the Americas formed the "Sea people" of the bronze age collapse?
Hi there -- you might be interested in this section of our FAQ, which covers trade and contact across the oceans before Columbus.
The short answer is that there is certainly evidence of intracoastal trade in both oceans; that Native settlers of the Americas probably moved by boat as well as land on their way down the coast; and that it's possible ranging on probable that there was trade and contact between Polynesia and South America before Columbus -- though which side reached the other is not clear.
One of the more famous people to theorize about contact from the Americas into Polynesia was Thor Heyerdahl, whose books I loved as a kid but whose work hasn't stood up well. Here are some answers specific to his theories about South American-Polynesian voyaging:
https://www.reddit.com/r/AskHistorians/comments/3ec5b7/was_there_preeuropean_contact_between_hawaii_and/ by u/Reedstilt
https://www.reddit.com/r/AskHistorians/comments/2jmdgn/do_you_think_its_plausible_that_ancient/?st=j5d9tn9c&sh=c32186f3 by Reedstilt and u/cozijo
https://www.reddit.com/r/AskHistorians/comments/3ya4ek/why_couldnt_the_polynesians_have_come_from_south/ by u/keyilan