Make the sauce: In a small bowl, whisk together broth, soy sauce, sherry, honey, corn starch, and sesame oil until smooth and combined. Set aside.
Heat a large wok or skillet over high heat. Add the oil and swirl to coat. Add the chicken pieces and pepper. Stir fry until cooked through, about 5 minutes. Remove chicken from pan onto a plate. Cover with a paper towel and set aside.
To the pan, add the broccoli, carrots, celery, red bell pepper, green bell pepper, mushrooms, green onions, almonds, garlic, corn starch, and ginger. Add a little more oil if needed, and stir fry until crisp-tender. About 7-10 minutes. It will seem like a lot of vegetables, but they cook down. You can stir fry in two batches if needed.
Add the chicken and sauce to the pan with the vegetables and stir to evenly coat chicken and vegetables with sauce. Cook until slightly thickened (about 1 minute).
Serve immediately with brown rice, quinoa, or cauliflower rice.