Is there any procedure that could fix these lines under eyes or even the whole cheeks? (photo)

Malar bags are the junction between the thin eyelid skin and the thicker cheek skin.  Attempts at suctioning out the fat in the malar bag have unfortunately only given mixed results.  People with thin skin and usually over 50 can do very well with a direct excision of skin and subcutaneous tissue in this area.Unfortunately, lasering this area rarely produces much improvement and tightening of the skin can, at times, lead to a pull on the lower eyelid skin leading to an ectropion (pulling down or out of lower eyelid skin).  Direct injection of fillers into the edge of the malar bag often makes this area more obvious and bulky.If you were my patient, I would do a lower eyelid blepharoplasty with muscle sling removing minimal skin medially, but using a dart of muscle to elevate the lateral canthal area and suture it to the superior lateral orbital rim.  This both tightens the skin and muscle laterally and decreases the overhang of eyelid skin over cheek skin.  An adjunct to this muscle sling would be the use of Voluma to increase the malar eminence for a better blend from lower thinner tissue to higher thicker tissue.    

You have a mid cheek groove derived from the midfacial ligament and a bulging sub orbicularis oculi fat pad. In simple terms, our facial fat is compartmentalized, and unless you release the walls/ligaments between fat pads with surgery, I find it difficult to smooth out the lines with filler alone. Subcision, or release of the ligament attachments to the skin with a needle, followed by fat grafting may be an option, but I think your looking at a lower bleph in the future for optimal improvement. Best of luck.

Lasers, fillers, and peels work best in this area. I suggest seeing an expert for a formal evaluation. Best, Dr. Emer.