Can I Do Fillers After Fat Injection Under Eye and Lips?

Only your surgeon can tell you the best at this time, whether you should have more or not.  He or she knows best how much volume of fat they placed exactly in which areas and at which planes.  If your injector did not want to inject much fat in the lower eyelids and lips for fear of not providing you with an aesthetic outcome, they might suggest a hyaluronica acid filler, such as Juvederm or Restylane, and they could tell you how much volume you would need and how long to wait.  If those places you metioned didn't have much or any fat injected, then you could have  the Restylane or Juvederm injected soon.
 

I would wait at least a year before entertaining the idea of placing more filler in the area you're concerned about.

I find that facial fat grafting take up to 18-24 months to fully blossom. If you retreat too soon you may end up overfilling an area.

It is a bit unusual that you seem undertreated only 2 weeks after your initial fat transfer procedure, however. Patients usually have quite a bit of swelling at this stage which would impart a fair amount of temporary volume enhancement.

If you are only 2 weeks post op, then I would suggest waiting at least 3 to six months before considering more procedures.  With fat grafting, you will need to wait for the swelling to resolve, the tissues to settle and to determine the amount of "take" of the fat.  If you start having filler injections already, then you may be sorry as the swelling goes away from your original procedure.

 

Good Luck.