Frostbite will. Either "get better" or the tissue will die. However the time frame for tissue to "declare itself" is longer thatn most think ( weeks not days) so early debridement or amputation for figer tips and toes is to bre avoided unless there is a surgicla need to treat infection. There are several grades of frostbite depending upon the severity of exposure. The more severe does worse. (see the image).
Yes. After the initial frostbite is treated, there is slow improvement of sensation and motion.