Could Facial Liposuction Help with my Cheeks?

You should schedule a consultation with a board-certified plastic surgeon. You might get referred to them via a physician who takes care of you. If your volume were indeed fat, and you have it removed, you might be unhappy when you're older and you can't maintain a young appearance because of the hollowness of the cheeks. Liposuction might create problems in the face which are not common elsewhere, such as nerve injury, parotid duct injury or irregular indentations. If it is done, it should be done by a very experienced and conservative surgeon. The cause of your fullness, might not be fat volume. It might be partially or completely due to an enlarged muscle that we use to chew food. Such a hypertrophic masseter muscle could be made flatter by an expert treating it with botulinum toxin (Botox or Dysport). You would need an examination to determine three-dimensionally the cause of your unhappiness. Don't rush into any treatment and make sure you understand all the possible risks. Good luck.

Thank you for your question and your photo.  Liposuction in the face is most effective in the neck and under the chin, and decidedly less precise for contouring the cheeks.  Your neck and jawline are already quite attractive.  Direct excision of buccal fat pads, done through incisions inside the mouth, might be a reasonable option for sculpting your cheeks. 

You look well! Although further photographic views are necessary to accurately answer your question, midcheek/malar area liposuction is unusual and highly prone to contour irregularities as complications.  Indeed, most patients are seeking increased volume to these areas (fat transfer, cheek implants, etc). With my limited assessment, I would recommend you consult an American Board of Plastic Surgery Surgeon, but proceed with caution......