No. It didnt evolve independently. People migrated out of africa with dark skin already evolved. Black skin has been around before homo sapiens appeared to the tune of 1.2 - 1.8 million years. The people that first colonized the globe were Black people. What you see in the pictures are descendants of those Black people."Genetic testing has shown them to belong mainly to Y-haplogroup D-M55.[50] Y-DNA haplogroup D2 is found frequently throughout the Japanese Archipelago including Okinawa. The only places outside of Japan in which Y-haplogroup D is common are Tibet and the Andaman Islands in the Indian Ocean."
Like I said- doesn't appear to have much if any genetic relationship to modern Africans.
Dark skin pigmentation has evolved independently in multiple human populations.
From what we know now, the leading theory is that the first humans were dark skinned.
As humans migrated out of Africa, they in many places evolved to have lighter skin, and then subsequently as humans migrated more, evolved to have dark skin again.
We are all descendents of 'black people' but we are not all descendents of modern Africans.
Not that any of this is really that relevant- ultimately we are all human- though it is fascinating to see how humans evolve.
I attended a lecture on the subject by this author
Colloquium Paper Human skin pigmentation as an adaptation to UV radiation
Depigmented and tannable skin evolved numerous times in hominin evolution via independent genetic pathways under positive selection.