Add carrot chunks to the bowl of a food processor and pulse until finely chopped; transfer to a bowl and return processor bowl and blade to the machine.
Pulse together the oats and coconut until coarsely ground. Add almond butter, syrup, salt, vanilla, and cinnamon, as well as the chopped carrots. Pulse until a smooth, sticky “dough” forms. Add white chocolate chips and pulse until chopped.
Roll into 1.5-inch balls. Store in the fridge or freezer.