Theoretically it is possible when it rotates it cuts the magnetic field and converts the kinetic energy into electrical energy.
Actually, we won't do that. We just need to use a special generator to produce electricity.
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The method you are talking about is a perpetual motion machine. Our ancestors have already proven that the perpetual motion machine is not sustainable. Take what you said, the wind turbine drives the fan, then the wind from the fan drives the wind turbine. This cycle continues because each yield (factor) of conversion is only 80%, which is not true.