If it's an off-the-shelf unflashed card, no. The cMP will boot but the screen will be black the entire time and never turn on.
If it's one of the MVC cards flashed with his EFI ROM then the card will "function" without web drivers. I put function in quotes because it will be unaccelerated and extremely sluggish and with graphics glitches on the screen.
So, to answer your question... web drivers are required.