Not really, although it may give a slight purplish cast to it, depending on the volume of developer in the color. It will most likely raise the color up a level, but once the color fades, you will end up with a reddish cast to your hair.
Will Purple Hair Dye, Dye Over Black?
No, you'll have to bleach it first. It depends on the texture of your hair but you might have to bleach it a lot to get the purple to show up.