Analog vs digital wireless newbie questions
Assuming your accelerometer outputs an analog voltage, the signal coming out of the accel. would be DC.  You could potentially create a circuit where the accel. signal could affect the modulation index for AM transmission therefore indirectly transmitting the "accel. data."  

But I wouldn't go there.

It's a lot easier to just hook up the accel. to a microcontroller and use something like an XBee to transmit data wirelessly to your LED.  You don't even need a big fancy microcontroller to do the job.  Something like the ATTiny 84 can do the job.