Yes, not sure we are aware of carp specific diseases. In fact, carp are so hardy and tolerant of poor water quality and low oxygen that they pretty much can almost come to the top and breathe air through their gills when under stress. Usually they survive long after all the other 'sportfish' are dead.

However, there are studies that show that a fairly low concentration of insecticide using the common ingredient bifenthrin or permethrin or related chemical is a selective poison for carp and not for other kinds of fish. An accidental spill or run off of insecticide into the water would take out the carp and not the other fish if the concentration was high enough for long enough.