Feeding squirrels from the palm of your hand could cost your life The main danger that biologist Tatiana Antonenko warns of is that the squirrels carry many parasites and diseases, including the most dangerous rabies. Basically, it's a beautiful, gnawing. Would you hand feed, say, a common gray if you encountered it while walking? this is. In addition to rabies, a biting or salivating squirrel can transmit leptospirosis and tularemia to humans. These diseases require serious treatment, and rabies can be fatal when symptoms appear.