Will my dents under my lower eyes caused by mistake go away naturally?

Impossible to tell without seeing a photo. There is usually something that can be done to improve the under eye area, either surgical or nonsurgical such as filler. See an oculoplastic specialist.

Hi Helena, it's not probablle that the goggles had anything to do with your concerns, but regardless of how the volume issues under your eyes developed, you can rectify the issue with dermal fillers.  To see our Culver City, CA patients that had under eye injections before and after Restylane, click on the link below.  

Surgery from a 1 1/2 ago is stable and long healed.  I have seen patients with a history of hyaluronic fillers who have a degree of chronic edema in their cheeks develop dents after wearing goggles.  However these generally resolve in hours or days and the treatment is to release the edema with enzyme.  I recommend getting assessed by an oculoplastic surgeon who specializes in aesthetic surgery.  Unfortunately for somethings, an actual personal assessment is invaluable.