Would I still be able to carry a child after liposuction in the abdominal area?

If you mean could you get pregnant, the answer is yes. If you mean could you pick up your child after abdominal liposuction, that would depend upon your surgeon's instructions.  However, after the initial recovery period, you should be fine to pick up a young child. 

Absolutely, yes. Liposuction should have no effect on a woman’s ability to carry a child. Because liposuction is performed only on the subcutaneous fat layer located above the abdominal muscle, it does not in any way interfere with your internal musculature, the underlying anatomical structures, and reproductive organs.

Liposuction is perfectly safe for women of childbearing age. Liposuction impacts only the subcutaneous fat layer above the abdominal muscles. Therefore, it does not have any impact on the reproductive organs or the ability to conceive or carry a child.