Is there a procedure to get rid of these fat pockets on my face that look like eye bags? (photos)

This problem is frequently seen in young people with malar hypoplasia, small cheek bones. Correction involves cheek augmentation with implants or fat grafts and transconjuctival lower blepharoplasty. Good luck.

There are two ways that this problem can be addressed and the best way to determine which method would be through an in-person examination that allows for palpation and manipulation of the facial tissue. Generally speaking, however, one method would be the use of a robust volumizing HA filler for the outer cheeks, if properly injected, to diminishing the facial drooping that accentuates the problem. Alternatively, or additionally, a low viscosity, malleable, cohesive HA filler superficially injected properly directly under the depression can elevate the region and smooth the transition between the upper cheek and the lower lid regions. You would be wise to consult with an experienced, board certified cosmetic dermatologist filler injector. Hope this helps and best of luck.