Well, it would be p-hacking if you tried 1,032 different hypotheses until you got one that passed your threshold. There's quite a lot of scientific history (e.g. Kepler's discovery that planets went in elliptical orbits) that would have to be thrown out if you decided you could never use data for anything other than the original hypothesis. Kepler didn't even collect the data, much less collect it with the idea that the planetary orbits were elliptical.

Having said that, the results smells (pun intended) bad, just because I cannot think of any plausible reason for a non-migrating animal to align with the magnetic field, when defecating or at any other time.