Technically yes, but in practice any gains are going to be counteracted if not outweighed by the electromagnetic noise from the fan’s motor. To avoid that interference and see any real improvement in your signal strength, you’d have to either use a fan with a shielded motor (the last such model went out of production in 1953, so good luck finding one) or a fan driven by an alternative power source such as a water wheel.
Ooh, that sounds handy! Mind if I ask where those feeds are coming from?