Yes, it does to some extent. Based on how early your doctor allows you go for post-natal massages, you would be able to see changes almost immediately. In case of normal delivery, you can do it after a week. In case of c-section, you can only go for post-natal after the wound has healed.
Either way, if a massage is followed by abdominal binding, you will see a faster result and your tummy can go in substantially post delivery.