No there is no “proof” of where hawaiians came from just like theres no proof where maori (new zealand) came from etc. in truth no polyneisans are originally from where they are now.. all polynesian ethnicities have stories of navigation to their final destination from another place, and most of those stories give the same name as the navigator.. Hawai’i iki / havaiki etc. (hawai’i was named after said navigator). the only polynesians with no back story of travel from some place else is samoans which leads many to believe that all polynesians originated from samoa. theres also supposed “proof” although its bogus as far as im concerned about DNA and tracing polynesians back to parts of asia. These tests should be ignored because A.) supposedly the people tested didnt verify they were of full blooded polynesian descent. B.) theres evidence to suggest that cook wasnt the first to “find” hawaii and infact spanish had found it hundreds of years previous and through their travels people not of polynesian descent ie: asians & hispanics etc ethnicity were left (by choice or otherwise) on various islands throughout polynesia and eventually had offspring with the polynesians living on those islands, which throws the DNA testing off quite a bit as you can imagine.