At the dance when the rock band is playing and when Davey Jones is on stage, watch the electrical guitar players. There are no cords coming from the guitars. It would be impossible to play one without.
No it's not impossible to play one without cords. There is such a think as cordless amplifiers. I've seen them. The guitars have some sort of transmitter on them instead of a cord. It's like cordless microphones. I'm sure you've seen those.
Ray is right. Cordless/Wireless equipment and instruments such as mics, electric guitars, etc., have been in use by professional musicians for quite some time now.