What kind of "fan" are you talking about? If you are referring to a "pin wheel" that just has vanes attached to an axle, then because there is no air to push them, the vanes will not move.
If you are talking about an electric fan with, say, batteries in the handle, then the electric motor will cause the vanes to turn, whether there is air or not. If there is no air, then, of course, the fan will NOT cause a breeze since there is no air to move.
As far as "equal and opposite force" is concerned, if the fan, vanes together with the handle holding the batteries are not attached to anything, the vanes will turn in one direction, the handle in the opposite direction, at speeds so that energy is conserved (the total energy which is NOT direction dependent is the same as the electrical energy used) and so that the total angular momentum (which is direction dependent) is 0.