Possibly, although Noah definitely did not exist. If he did, then the world would show evidence of being flooded in 3000 BC.
By 3000 BC, the skin color of most humans would have adapted so that most generations born above the equation would be Caucasian. There are a number of explanations for how Noah could be black, but they would rely on Noah being born in some place like Ethiopia, or not having ancestry in the land he was born at.
With no knowledge of where Noah was born or the skin color of his ancestors (again, he probably did not exist), I would say that claim is without merit.