No, in communism, the individual is asked to sacrifice for the collective, in this case, giving up organs for other people in society. This the heart and soul of communism.
Under communism, the individual is FORCED to sacrifice for the collective. In our society, there are already all sorts of incentives in place to ENCOURAGE individuals to CHOOSE courses of action that benefit society as a whole. I don't think you'd seriously want to remove all those incentives.
I believe that, in France (obligatory snicker...), a person has to request to NOT be harvested in order to remain intact after his/her death.