Yes, Black people can have red hair, although it is very rare. Red hair is typically associated with people of European descent, particularly those with Northern or Western European ancestry. However, red hair is caused by a mutation in the MC1R gene, which can theoretically be present in any ethnic group, including those of African descent.
While red hair is uncommon in people of African descent, it can appear in individuals who have a genetic history of red hair, often through mixed ancestry or a recessive gene from one or more of their ancestors. For example, in areas where people of African descent have had historical contact with people of European descent, such as in the Caribbean or parts of the Americas, there may be a higher likelihood of this trait appearing due to mixed ancestry.
So, while it is rare, Black individuals can indeed inherit the genetic trait for red hair under certain circumstances.