I really have to say yes and no.  The eye area is not FDA approved for any filler to my knowledge although it's often done as an "off-label" use.   This is a tricky area and my concern is that there are doctors, nurses or other providers who are out there injecting around the eyes without the proper training or experience.   You are, by definition, very close to the eye.  I think only very experienced, expert injectors should be working around the eyes and again, remember it's an "off-label" use. 

When it's done by an expert injector, using Restylane or Juvederm (the safest fillers), there are only extremely rare cases of problems.  Learn how to find a good doctor in your area.   Dr. I