Noise dampening? Yeah plenty exist. There's a hard limit of about 30db reduction passively unless you also plug your mouth, nostrils, and wear a helmet around your skull. But noise reduction/dampening does not mean the same thing as active noise canceling.

For ANC you need a microphone very close to the ear and some sort of chip to process that and apply it inversely to the speaker. There would just be too much delay if the sound waves have to make a round trip more than a few mm