It is possible, though very unlikely. Black panthers are Leopards or Jaguars with a color mutation. If you look really close at the picture Polydactyl provided, you can sort of see the spotted mottling beneath the black exterior of the cat's coat in its rear torso and rump area. Most Black panthers are Leopards. Still, whichever the panther is, Jaguar or Leopard, it is just as likely or unlikely to attack people as any other Jaguar or Leopard. There are fewer black ones than spotted of either cat, so any statistics on them versus their spotted cousins would be lower.
I think that panthers do attack people.
Why would a Black Panther not attack a human? :)
It is posible,though not likely