Nope. According to James C. Chatters (He did the work on Kennewick Man) in his book, Ancient Encounters, he states that there has not been any Native American skeletons found in the Americas that are older than 6,000 years old. Previous to 6,000 years ago, they were all of the Kennewick Man variety. (Buhl Woman, Spirit Cave Man, etc.)
Virtually each month brings a new discovery challenging the antiquity of the earlier settlers as to much older or much less. But one thing's for sure, Native Americans were here long before the Chinese of 1423 may or may have not been here. But if one had to tag a race to Native Americans, I think anybody would pretty much have to narrow it down to Asian.