theres limit because of freq and skin depth . old car ign coils are large compared to modern small ign coils which go direct onto spark plug
some projection TV flyback coils are large ... like a handful , but relatively unusable compared to small computer CRT flybacks
I think on this thread there was link to hyperphysics about coulombs , also had a bit about copper atoms and available free electrons so , the idea of more conductor is true but the hi freq and skin depth comes into it too
I have an electric fence coil which I will use 1 day , very well insulated for long life , these are low freq to get the most of the coil and send it through who ever touches the fence , I guess maybe ferrite core