That is an interesting question, and the answer is very complex. First, alveoli damage, one part of COPD and emphysema, happens very gradually, and often by the time it is recognized the damage is extensive, too much to repair with current medical knowledge. Second, the damage is often ongoing, especially when people continue to smoke or vape, or are otherwise exposed to irritants. In those cases, treatment may not be able to keep up with continuing deterioration.
So, the answer is, sometimes alveoli can heal a little using all the recommended therapies, which include medication, pulmonary rehabilitation, exercise and avoiding respiratory infections. But all parts of the therapy must continue to keep the improvement. Stopping any part of the rehab, or resuming smoking, undoes any efforts towards healing. You can compare this to the athlete who stops training - they lose many of the benefits of the hard work of training.
So, while there is no cure per se, progression can be slowed, and sometimes the condition of the alveoli can be improved with continued effort.
Have you been diagnosed with an airway disease?
Sue