Heat oven to 450° F. Toss the carrots, 2 tablespoons of the oil, and ¼ teaspoon each salt and pepper on a rimmed baking sheet and roast, tossing once, until tender, 10 to 12 minutes.
Meanwhile, pulse the almonds and garlic in a food processor until finely chopped. Add the kale, Parmesan, lemon zest, ½ teaspoon salt, and ¼ teaspoon pepper; pulse until finely chopped. With the machine running, add the remaining 4 tablespoons of oil. Process until smooth.
Cook the ravioli according to the package directions. Reserve ½ cup of the cooking water; drain the ravioli and return them to the pot.
Add the carrots, pesto, and ¼ cup of the reserved cooking water and toss gently to coat (adding more cooking water as needed to loosen the sauce). Serve warm, sprinkled with the chopped almonds and Parmesan.