To achieve a smaller and more contoured jaw line, would I need a chin lipo?

Neck liposuction is a great option for patients with good skin elasticity and excess fat in the neck and around the jawline. This will remove excess fat and stimulate the skin to contract over time which will improve angulation and definition along the jawline. I recommend seeing an expert for a consultation who can go over this procedure to determine if it will achieve your desired results and the cost of the procedure. I hope this helps!

We would need to see profile photos to see if a chin implant is even possible or desirable.  From the front view, it appears unlikely to be helpful.  It is possible however, to narrow your chin where the arrows are pointing by using a surgical instrument to remove some of the bone along your jaw.  If your chin itself is receded on the profile view, the implant you asked about would help as well, but not by itself.