And join them one to another into one stick; and they shall becomes one in thine hand.
Ephesians 37:17

Can black people be Mormon?

Yes, of course! There is no reason they can’t be simply because the color of their skin if they so choose to be a member of the church. This reminds me of a youth message one of the sister missionaries in my ward showed me last week and I think you’d benefit from watching it!