In a mixing bowl, whisk together honey, soy sauce, minced garlic, and grated ginger until well combined. Set aside.
Place the chicken thighs at the bottom of the slow cooker. Season with salt and pepper.
Add the sliced carrots, bell peppers, and broccoli florets over the chicken.
Pour the honey garlic mixture over the chicken and veggies, ensuring everything is well coated. Drizzle sesame oil on top.
Cover the slow cooker with the lid, set it on low heat, and cook for 6 hours.
Once cooking time is complete, carefully remove the chicken and shred it with two forks. Return the shredded chicken to the slow cooker and stir everything to combine.
Serve the dish over cooked rice or noodles if desired, and garnish with chopped green onions.