The answer is NO.
The Black Rhino and White Rhino are indigenous to Africa. Within those two species are sub-species. This is where the confusion lies.
One of the sub-species of the Black Rhino was the Western Black Rhino. This group is thought to be extinct. They were last seen in Cameroon area, and pronounced extinct in November of 2011.
The primary species of Black Rhino which are seen are the Eastern Black Rhino, South-central and South-western. However, they too are critically endangered. There are approximately 4800 left in the wild. The following map shows where they are still found: