To an extent. If not fed well they MAY become predatory. The greens are the worst for that. I'm not certain, but from what I can tell they need to be fairly large before they become hazardous (unless your fish are quite small.)
I would venture to guess that yours is currently pretty harmless.
Awesome little stars
They're pretty safe and shouldn't harm any coral. If it gets big, (some can get to well over a foot) they can prey on small fish. Yours looks tiny at the moment though so that's not an issue.