It can be done, but outside of magnetic resonance range the transmission losses are fearsome. I don't have any figures handy, but even 10% efficiency would surprise me at the distance of "across the room." They make a "wireless" phone charger; you put a special back on your iPhone and lay it on the charging mat and it feeds power using a magnetic field to the special back and thence the battery. But it has to be laying on the mat-- a/k/a/ very close range-- to make it go. In a real sense, even radio transmits power as well as intelligence. But the power content is *tiny.* That's why they invented "amplifiers." Back to the drawing board on that one, I fear, unless you know more about antenna tech and the Square Law of Radiated Power than I do. I have had an idea for a "car mod" that would be-- sort of-- wireless. If you could get a very small (physical size and storage capacity) battery that nonetheless offered substantial current capacity, you could build a "cradle" for it that would fit in the cup holder. The battery would be good for 2 or 3 toots, and then you put it back in the cradle to charge again while you're waiting to take you next vape. I have done no research on it, though. I have no idea if such batteries are available. Even something the size of the 18350 is limited to 14 amps (Tensai) or 12 amps (AW), and most of them are 6 amps. Still, if we assume we had a 4 volt, 14 amp battery available, a 50% safety margin would let you draw 7 amps putting your resistance in the .6 Ohm range at 28 watts in a mech. A regulated mod might do better, but I can't build one. That's moderately respectable, if not in steamthrower territory.
Thanks for the response! Your idea sounds cool too... something like a capacitor mod. I have no idea how the output voltage/amperage could even be regulated though lol.