Can a Magnet power a fan for a wind and electricity output?
Magnet itself is not a source of energy. Electricity could be induced by moving a wire/coil in a magnetic field or moving magnetic field around the wire/coil. This tool are called a generator. Generator does not actually create electrical energy. Instead, it uses the mechanical energy supplied to it to force the movement. Typical generator uses the engine as source of the input mechanical energy to the generator. Generator engines operate on a variety of fuels such as gasoline, propane (in liquefied or gaseous form), or natural gas. 

You can convert a table fan into generator. Look at this instructables forum and this reference. However, it is not an easy task.