"Oh my, Jesus touched a Leper"

Jesus never touched a demon-possessed person, he just spoke to them. But whenever someone was physically ill, Jesus would want to touch them, even though it wasn't necessary. On this particular day Jesus was faced with a different challenge, he came face to face with a leper. A leper was considered cursed by God, a sinner and highly contagious. Lepers were unclean outcasts from society, and from the Temple worship. If Jesus touches him, he could become unclean,  he could contract the disease and he could be shunned by society. Did he end up touching him?