Liposuction is not a substitute for weight loss in an individual of any age. If there is some psychologic advantage in getting body contouring at the age of 14 this is something that is possible but must be done with the permission of the parents.
Though everyone matures at different rates, liposuction would almost never be considered in someone 13 years of age. Liposuction is a contouring procedure for those who have areas of lipodystrophy (fat) which are refractory to diet and exercise.Since you are struggling with weight control, would recommend seeing an adolescent medicine specialist, obtaining a consult with a nutritionist, establishing a method to increase physical activity (local gym, adolescent trainer, boys and girls club), and consider a summer camp to meet others who may be going through the same issues. Best of luck.