It depends on why you move home. If you move back in because keeping two places is simply too expensive, I don't think that is pursuing. If you move back in because your name is on the lease and you are responsible for the rent, that's not pursuing. If you move back in because you want to watch her comings and goings, that might be pursuing, but is probably more controlling. If you are moving back in so you can shop for her, cook her meals, clean up, and kiss her goodnight, that would be pursuing.
