The idea that Native Americans were in some "direct" way African is just one of many theories that's developed out of the perennial ignorance and dismissal of Native American histories and perspectives. I've written on the topic of trans-Atlantic voyages from Africa here, and Penn State's Christopher Heaney has some good words on the erasure of indigenous Americans in this article

The answer to your question is thus "No," but that's hardly a good answer. Were there any specific arguments or pieces of evidence that you were interested in a critique of?

Just to be clear for anyone answering, are you referring to North America?