Not really. It's not like a neural network which approximates a crazy function to the feature space leaving brittle points where you can exploit that to get false positives.

You could, for instance, insert other tracks into the audio additively to try and confuse the fingerprint retrieval logic into suspecting a different track, but since this and many other fingerprinting techniques depend on the actual frequency of the audio emitted, there's no shortcut to obscuring the actual track.