What procedures can be done to salvage vertically broken lateral incisor? (Photos)

Both of my lateral incisors are stuck almost completely behind my top front teeth due to not having enough space in my mouth for all of my teeth. Anyway my lateral incisor broke in half vertically yet I can still feel the top of the tooth even where it broke on my gum line. I would like to know if it could be salvaged and what procedures I could have done relatively cheap since I'm a college student with very little money.