Add the carrots, ginger, and 1⁄2 cup (120g) water to a large pan over medium-low heat. Cook for 5 to 8 minutes, stirring occasionally, until the carrots are almost fully tender. Add more water if necessary, 1 tablespoon at a time, to keep the carrots cooking. Add the chickpeas, milk, curry paste, salt, and sugar, and stir well.