No, wounds do not naturally do this, which is why it is magic. There is folklore of healers 'buying' warts and similar, to take possession of them away from the person who has them.
And the 'infernal taint' is dubious -- certainly taking a wound from yourself and placing it onto an unwilling innocent would seem almost as evil as conjuring a fire to burn down someones house. But taking someone else's wound and moving it onto yourself does not seem to be an infernal act, nor does saving someone's life by moving a wound from them to someone else who can more easily bear it.