Can my daughter get liposuction at 16?

As a general rule is probably would be something I would advise against. In special cases where there is a significant psychological handicap, liposuction in this age group might be beneficial.

Thank you for your question and I can sympathize with your daughter's difficulty in weight loss.  As she is still developing at the age of 16, I would not recommend surgical intervention in the form of liposuction to help her lose weight.  Her best option is to pursue a healthy diet and exercise regimen, assisted by nutritionalists and personal trainers, to teach her the lessons of health, lessons she can carry with her throughout life.