Drape the whole tree with netting, or try bagging individual fruit. No reason to kill nature, more of it will just show up. One other option is to spray the tree with an organic scent that they do not like, but you'll have to do so repeatedly after every rain, and run the risk of harming beneficial insects.
For a more fun route, you can buy animal shooers - essentially sticks in the ground with a sensor on them that spray water in the direction pointed every time they detect motion. That might scare them off, or they might decide they like it. You can set up several - but be prepared to get wet yourself every time you try to care for the tree!
These can be called
solar-powered animal deterrent," "motion-activated pet deterrent," "garden defense," "motion-activated sprinkler," etc.