No. He has no documented native ancestry (despite his claim) and no connection to any tribal nation or culture.
He lists his ethnicity as white- http://celebriot.com/mark-calaway-weight...
Moreover, no one can be "part native American" any more than they can be "part American citizen". People don't come in parts or fractions. You either ARE native American (being a tribal citizen) or you aren't. (being just another one of those millions of people with the identical "my great-granny was a Cherokee" myths.
Wiki
why do people care about ethnicity?
no
NO