So a few years ago, looking at the answer to this question the answer was no and that there needed to be an event horizon for hawking radiation to arise and that it is not purely curvature that causes it.
However according to https://www.sciencedaily.com/releases/2023/06/230602115051.htm, there is evidence that all large objects not just black holes will evaporate.
So what may be the cause of this? In the case of black holes it makes sense that the black hole just becomes less steep of a gravitational well and that energy goes into the photons in Hawking radiation. But what about with neutron stars, where would the energy come from?