Can I Inject Fat into my Hips to Even out my Body For an Hourglass Shape?

Without pictures or seeing you in person, it is impossible to give you specific advice.  However, yes, it is often possible to perform liposuction in one area of your body and transfer/inject that fat to another area of your body.  This is commonly called fat grafting or fat transfer.

 

Good Luck.

Fat transfer is possible for all types of body contouring. However, given your description it sounds as though liposuction (rather than fat transfer) maybe more appropriate to smooth the transition from you waist to your thighs. Prior to any procedure however, be sure that the surgeon you are seeing is Board Certified by the American Board of Plastic Surgery. You can find a surgeon in your area by going to the ASPS website.