Not in the way most people have been told. "Black mold" usually refers to Stachybotrys chartarum, which is dark and grows on very wet cellulose material — soaked drywall, saturated cardboard, wet wood. It does need sustained moisture, so finding it means something has been wet for a long time.
But the remediation is the same regardless of species. You fix the moisture, contain the area, remove the porous material, clean, and verify. Nobody changes the protocol based on colour, and no reputable company should quote you differently because a patch looks black.
Plenty of dark growth is not Stachybotrys at all — Cladosporium and Alternaria are extremely common and also dark. Identifying the species by eye is not possible, and in most cases it does not change what happens next.
Be careful with anyone who leads with the phrase. Fear-selling on black mold is common in this industry and it is the fastest way to spot a company more interested in the invoice than the moisture.