I don't think it would. More or less, the entire bulk of the mass was out there, though no longer in a perfect globe...should still be the same point-source of mass gravitationally acting on the earth. A minor change in tides, I could imagine, but not something that entirely wipes out civilization with tsunamis.
Removal of the entire mass of the moon would be a different story, of course...but that would be quite a more extensive task to achieve, even for advanced aliens.
Margot Robbie is THE most exquisite human creature on the face of the planet, in this moment in time.