In a slow cooker, combine honey, soy sauce, ketchup, minced garlic, ground ginger, and black pepper. Stir until well mixed.
Add the chicken thighs to the slow cooker, ensuring they are well coated with the sauce.
Layer the baby carrots, chopped bell pepper, and broccoli florets on top of the chicken.
Cover and cook on low for 6-7 hours or on high for 3-4 hours, until the chicken is cooked through and tender.
Once cooked, remove the chicken and vegetables from the slow cooker and set aside.
In a small bowl, mix cornstarch and water to create a slurry. Stir this mixture into the remaining sauce in the slow cooker.
Turn the slow cooker to high and cook for an additional 15-20 minutes, or until the sauce thickens.
Return the chicken and vegetables to the slow cooker, stirring to coat them in the thickened sauce.
Serve over cooked rice or quinoa.