Emphysema results in a shortness of breath and as the breathing is compromised the person is not able to get the correct amount of oxygen into the blood and therefore this can make the heart work much harder than it normally should trying to pump what oxygen it can to the body.
This can result in pain.
Additionally, due to the damaged alveoli of the person with emphysema and the overworking of the heart the nerves of this person can become hypersensitive which will cause them to convey more pain signals to the brain.
I am actually suffering from this and I can say that, at least in my case, emphysema is rather painful