Will massage help the swelling with lymphedema to reduce its swelling?

Yes. Lymph massage is called manual lymph drainage -mld check youtube video for techniques.
Proper techniques. Manual lymphatic drainage is a key cornerstone to dealing with lymphedema but it must be done properly to have benefit and avoid worsening a situation. You should seek nstruction from a physical therapist with training and credentials in manual lymphatic drainage.
Lymphedema. Swelling will help and as a matter of fact one of the treatment options is manual lymphatic decongestion which is a massage technique from the outside of the leg inward to stimulate collateral lymphatic channels to work more efficently.