In the bible, there are lots of miraculous stories that people were saved from incurable diseases and even from death. It is not a magic, but the faith in Jesus as our savior, gives the power of healing, I believe.
From Matthew 9:19-22
So Jesus and his disciples got up and went with him. Just then a woman who had suffered for twelve years with constant bleeding came up behind him. She touched the fringe of his robe, for she thought, “If I can just touch his robe, I will be healed.”
Jesus turned around, and when he saw her he said, “Daughter, be encouraged! Your faith has made you well.” And the woman was healed at that moment.