With my Engieering Fundamentals hat on, I don't see it as impossible, just not cheap, at least without a consumer scale system.
First, it would need powered, maybe by a coax or Class 2 power wiring. You would feed it 24 volts at a few amps.
The easier way is to do what SWiM does, which is to transmit a small portion of satellite spectrum, selected by the receiver over a control channel.
The control channel would be something like 433 Mhz. It does not need much bandwidth. The signal channel might be 1.2 Ghz, or some other adequate unlicensed band above 900 Mhz. The receiver would need an interface and software to run the control channel, and intellegence to tune the RF frequency the transmitter sends it.
Harder would be something which tunes the carrier directly at or near the dish, and transmits the bitstream in a wireless friendly format (something like COFDM or 8VSB), or even of IP with WiFi.
Much easier, is to have the full receiver installed where coax can be ran to, and use wireles to send its A/V to a TV, and a control channel which just relays the IR remote signal. Such a scheme can be realized with existing affordable consumer hardware.
