No, it's not physically possible to do any significant active cancellation of the noise caused by a rotor / propeller spinning through the air. The noise sources are too spread out (especially with multi-rotor designs) and cover too much of the audible range.

Blade shape can be tuned to an extent for minimizing noise but that also reduces efficiency (not much to spare). Larger, slower turning blades are also quieter but there are practical physical limits on size and weight.