Yes. And mathmatically describable.
The part that the teacher is ending with, is the electrostatic field a wave, particle or virtual particle? Since it can happen in a vacuum, there are no particles, so it appears to be a wave. It can also be described as a disturbance in an electron field as a photon. He is alluding to the underlying process of the electric field. Then you get into quantum physics.
A cool way to get young minds thinking about the physics of electric fields and energy storage.
Another fun thing to think about is since a capacitor does not totally contain the electromagnetic field between it's plates and there is leakage, how does that interact with it's local environment and cause changes to the circuit and sound? Same goes for cables in the environment.
Some of the new circuit modeling systems let you take the component E-M fields into account and help with layout. Would be interesting to visualize that capability.