Shotgun mics? They're very good at cancelling off-axis noise (that is, anything that's not in a fairly narrow cone the direction they're aimed) but AFAIK it's really challenging to have hardware cancelling of distant noises in the direction of capture, while also capturing a narrow cone like that. So, do they do noise cancelling? Yes, very much so, it's kinda their whole point, but also no, depending on what you mean.

Oh i meant more the noise canceling you need in a call... cat meow, ambulance siren coming from the open window, the sound of you pouring yourself more coffee etc.