Nope !! Neutron Stars Neutron starts spin very very fast . If there is any star near by, they will feed on the solar mass , rotating several hundred times than original speed. read more
Neutron stars can grow in mass. If the neutron star has a binary companion (in main sequence or giant phase), this happens by accretion of mass from the companion. If the companion star is a giant, its outer layers will be loosely bound and it is possible for matter there to fall into the neutron star. read more
Also, as I understand it, Neutron stars, like white dwarfs, grow smaller as they add mass. Less massive Neutron stars in the 1.4-1.5 solar mass range should be larger than 10 km in radius which is roughly the size of the more massive ones. read more