Can you record ambient airplane noise, shift it π rad/180° out of phase, and play it so it acts as active noise cancelling?

[Aviation FAN]

How would one go about shifting a piece of audio 180° out of phase?

 

[hang-the-9]

Considering that is exactly how active noise canceling works, yes you can. About how, use an audio tool, Audacity may do it, but you may need something higher end like pro tools.