For the power bites:
4 medium carrots (1/2 pound), peeled and sliced into 1/2-inch pieces
1/2 cup (3 ounces) coarsely chopped Medjool dates, firmly packed
1/2 cup (128 grams) unsalted creamy almond butter
1 teaspoon ground cinnamon
1/4 teaspoon ground nutmeg
1/2 teaspoon kosher salt
1 1/2 cups (180 grams) almond meal, firmly packed, divided

For the icing:
1/4 cup (30 grams) powdered sugar
1/8 teaspoon ground vanilla beans or vanilla bean paste, or 1/2 teaspoon vanilla extract
3/4 teaspoons water (plus more if needed)