In a mixing bowl, whisk together the honey, soy sauce, chicken broth, minced garlic, ground ginger, and black pepper until well combined.
Place the baby carrots evenly at the bottom of your slow cooker. Layer the chicken thighs on top of the carrots. Pour the honey garlic sauce over the chicken and carrots, ensuring everything is coated nicely.
Cover the slow cooker and cook on low for 6-7 hours, or on high for 3-4 hours, until the chicken is tender and easily shredded and the carrots are soft but not mushy.
Remove the chicken and carrots with a slotted spoon and set aside. In a small bowl, mix the cornstarch and water to create a smooth slurry. Pour this into the slow cooker and stir well. Turn the heat to high and let the sauce simmer for 10-15 minutes until thickened to a glossy glaze.
Return the chicken and carrots to the thickened sauce, stirring gently to coat. Transfer to serving plates or a dish, and sprinkle with chopped green onions for a fresh, vibrant finish.