Would it make sense to use destructive wave interference to silence gunfire?

So based on my limited understanding, some luxury cars have taken to using their sound system to make the cabin quieter when on the highway or something (Active noise control via wikipedia). And I learned about destructive wave interference in high school physics.

First of all, this is a thing, right? Secondly, I know vaguely how suppressors work and they're not strictly "silencers", but would using some sort of sound system with "anti-noise" be possible for reducing weapon report? And if it's not feasible with technology or whatever IRL, without worrying about such limitations, would it make sense in an advanced society?

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Would it make sense to use destructive wave interference to silence gunfire?

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