Now, it could be a black hole; for two arcseconds, it would have to be of mass 10^6 M_sol or so, i.e., to be one of those intermediate mass black holes that everyone is talking about. Of course, you could move the NS/BH closer, but I don't think it is possible to get an isolated neutron star that close to us (it would have to be right on top of us to have an effect.