There are treatment options on the links.Yes, but it's mostly preventions, no cures.
I read somewhere that chicks can survive it and heal themselves over time, is this true?
Wet Fowl Pox can be deadly, but yes, some chicks/chickens can heal by themselves over time.
For your little one, go to your local walmart or pharmacy and pick up some Iodine - this is in the first aid section. Also your local feed store should have some type of Ophthalmic ointment for the eyes - like Vetericyn or Terramycin.
Apply the Iodine to the scab/lesion on the beak. Use the eye ointment on the lesion at the eye, being careful not to disturb the scabs.
Make sure you keep her water clean and the water container sanitized.
http://www.the-chicken-chick.com/2015/07/fowl-pox-prevention-treatment.html
