[posix86]

It would be possible if you had a matrix of speakers covering all walls & ceiling. In that scenario you could control the entire sound landscape across the board, and cancel out or simulate arbitrary sound sources in the room.

[ramenbytes]

Related: https://en.wikipedia.org/wiki/Wave_field_synthesis

[IAmBroom]

It would take gigantic processing power, but it's theoretically possible.

You'd have to run realtime 3-D FFTs on the sound in the system, at approximately a few kHz.