'Black Snake' actually refers to a number of snakes, the whole
of Genus Pseudechis is often referred to as 'black snake', and of
the 5 or so types of snakes commonly called Black Snake these are
the only ones in the familiy Elapidae (same Familiy as the Black
Mamba), the Black Mamba is of Genus Dendroaspis. (Simple answer
would be 'No'.)