Is there such a thing as a noise cancelling stereo?

I live in an apartment block above a busy road. During winter, this doesn’t bother me. But now the hot weather has arrived, it is a necessity to sleep with the door onto my balcony open. Unfortunately this lets in road noise with the cool air.

Noise cancelling head phones are a brilliant modern invention. But I’ve never seen the technology applied in a stereo to cancel out ambient noise. Does such a thing exist, and could it help me sleep better?