Absolutely, yes, lymphedema can affect your torso? I hadn’t heard of this instance much until recently. Those who have had breast cancer surgery can have the area around the back and/or front of the torso swell as lymph is not cleared away. This can also happen to those who have had surgery or treatment near the neck (i.e. thyroid cancer or leukemia).
Most familiar and visible is the lymphedema sleeve which controls arm lymphedema. There are also compression or lymphedema camisoles that control the torso swelling. Popular body trimming garments may look the same; however, the compression garments for lymphedema are specifically designed to control lymph flow, have breast pockets for mastectomy patients, and in addition provide body trimming.