Healing will function like any other skill within our game. Everyone and anyone can heal either themselves or one another, but just how competently you can do so will all depend on how skilled you are in that area.
However, healing is NOT magical. Think of healing along the same lines as applying first-aid or performing triage.
So in a sense, you could potentially have someone in your group who would be extremely proficient at healing, if that character has spent a significant time sharpening his skills.
With that said, there will be a form of magical healing.