If you need be healed, no you do not have to have it on your wishlist! Just find a healer! Each herd has a few healers, and lots of characters can heal on their own! We also assume that most injuries will heal on their own over about a week.
If this is more magical, then yes you would need a quest. Maybe I need more information! I'm not sure why you'd need the extra healing part you described (the crack, the obsidian, etc).