Can you drive a quad on a bike license?

You don't need a license to drive a quad.

Added: But they are not legal to operate on the public roadways anyway.
no you just need a licence to drive road legal quads an scramblers no you do NOT need a car licence to drice a quad or a scrambler and stuff like that but for an off road quad or a scrambler you do NOT need a licence
This vehicle requires no license because it is not street legal, and as such it is illegal to drive on public roads.