Yes, power transfer occurs… but as @NiamhAstra said, it’s not necessarily like a coupling. Power transfer does occur because this is exactly how a crystal radio set works without any batteries of it’s own. It’s also how microwave ovens work to heat your food… energy is transferred.
The emitter is pushing out a certain amount of power… like a fountain pushes out water… either that water flys out, dissipating energy over time and distance as it arcs to the ground. The energy to push it out has already been expended. Now think of receivers in the area as bowls that catch the water before it hits the ground. They are getting a tiny fraction of the energy spent and doing something with it. In fact, the arc of some radiation patterns produced by certain types of transmitting antennas look an awful lot like a fountain actually.
Another way to think of it is sound… when you scream at someone’s face, a certain amount of energy is expended by your lungs to push the air and your vocal chords to modulate that air. How many ears that happen to be around don’t affect the amount of energy you expend screaming, but they do convert the energy received into mechanical movement of your ear drum. Ears that are further away get less energy because the distance means the energy is expanding, becoming less dense, losing power per cubed millimeter of free space… but this has no bearing on the energy expended to produce the soundwave.
Finally… if you know much about the CB radio antics of the 1980s, you’ll surely be aware of teenagers with CB rigs in their cars, connected to hopped up linear amplifiers that bump the output wattage so high, when they keyed up, the energy emitted would bleed over other amplification electronics in FM radios, television sets, telephones, and even kids toys… there was so much energy being pushed through the air and into any kind of unshielded conductors in the path of that energy that you COULD FORCIBLY SPEAK TO THE ENTIRE NEIGHBORHOOD LIKE A GOD and there was nothing anyone could really do about it.