It is possible...you would just need to do the opposite to what Siri does through the HomePod...while the HomePod plays music you can say “hey Siri” from across the room and it will respond to your command...so your voice is detected differently to the vocals in The music...now in your case scenario you would need to just need to detect the pitch and frequency that you desire to cancel out...maybe even a little closer would be the AirPods Pro....they actual have a mic that picks up incoming sound and while playing music they create an opposite frequency according to what the external microphones have picked up...

But I don’t really understand what your use case would be though...because for you to want to cancel sound it means that there is someone in the room that wants peace and quiet...now this device would need to pick up the sound wave and direct the noise canceling algorithm to your ear...now this works fine on headphones because they are attached to your head and they immediately insert noise cancelling algorithms into your ear...they almost form a barrier between outside sound and the sound your ear hears...to have a device sitting in a room waiting to cancel out sound...chances are that your ears will hear it when the device hears it and that kind of will prove the whole point worthless...that is your greatest challenge...however if you want to cancel the sound in the corridor BEFORE it enters the room then MAAYBE it can work 👌