Yes. We are born with only a certain number of fat cells that continue to grow until puberty when their numbers stabilise.
Body shape, genetics, dietary patterns, exercise habits, gender can all influence where fat is deposited. Liposuction can remove these fatty deposits that diet and exercise cannot.
Fat cells that are removed by liposuction do not grow back, however, fat cells that remain in the treated areas can expand as do fat cells in other parts of your body.
If you do gain weight after liposuction, then your new body shape will remain.