Yes, neutron stars can have planets (remember the first extrasolar planets were discovered orbiting a pulsar (3 planets orbiting the same pulsar) which is essentially a neutron star!). Now there can be three ways in which a neutron star can acquire a planet. read more
Pulsar planets are planets that are found orbiting pulsars, or rapidly rotating neutron stars. The first such planet to be discovered was around a millisecond pulsar and was the first extrasolar planet to be confirmed as discovered. read more
In this second live neutron stars can planets as a normal stars do. Image: NASA/JPL-Caltech/R. Hurt (SSC) - Phobetor in the foreground There are three ways how planets may exist in neutron star system. read more