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The Wifi isn't waves made of air, the wifi is waves of the electromagnetic spectrum, similar to visible light, and they travel faster than you can perceive.
So no.
But you can do something similar with a microwave oven. It's just that any signal making it through the radiation of the oven would be disfigured and useless.
I mean, that was my first thought... but would there be a measurable difference?
I mean lets be clear, with a fan you're adding like 8 mph to something going 299,792,458 meters per second. You won't notice anything.
But like, vacuum vs glass vs glass moving half the speed of light, could be an interesting what if. Relativity is always where my mind glosses over in physics.
Unless the air particles make real contact with the photons then you're not adding anything to anything, and the ones that do will be deflected.
Imagine a rock in space coming close to hitting a planet, or even entering a solar system at all. Similar scale.
I think it's important to point out as well that there is a mesiarble difference between between the permittivity of free space and air. But to your point the difference is quite small: e_r air is 1.0006 whereas e_r freespace is 1.
While temperature and pressure do have an effect on e_r air I don't know enough to say that net movement of the particles in one direction would have a measurable effect.
My instinct is no.Looks like lukewarm_ozone proved me wrong. https://lemmy.today/comment/13053868