Heat 1 teaspoon of vegetable oil in a large skillet or wok over medium heat.
Add the carrots and broccoli. Cook for about 4 minutes until crisp-tender.
Transfer the vegetables to a plate and keep warm.
Carefully wipe the pan clean and increase the heat to high.
Add the remaining tablespoon of oil.
Season the chicken with salt and pepper.
Cook the chicken in a single layer for 3–4 minutes per side until golden and fully cooked.
Stir in the minced garlic and cook for 30 seconds.
Return the vegetables to the pan and toss everything together for 2 minutes.
In a bowl, whisk together the chicken broth, soy sauce, and honey.
In another small bowl, combine the cornstarch with the cold water.
Pour the sauce mixture over the chicken and vegetables and cook for 30 seconds.
Stir in the cornstarch slurry, bring to a gentle boil, and cook for 1 minute until the sauce thickens.
Serve the Honey Garlic Chicken Stir Fry immediately with steamed rice, noodles, or cauliflower rice.