Heat a large skillet or wok over medium high heat. Add one tablespoon of vegetable oil to the skillet to heat.
Dice the chicken and add to the skillet. Cook, stirring often, about 6 minutes or until cooked through. Remove to a plate and set aside.
Add another tablespoon of oil to the skillet. Stir in the peppers, broccoli, and cauliflower and let cook for 5 minutes or until tender-crisp, stirring often.
Stir together soy sauce, vinegar, honey, garlic, ginger, and chili paste in a small bowl. Add to pan and stir to coat. Cook 3 minutes, stirring often.
Return chicken to the pan and cook for 2 minutes while stirring.
Serve immediately.
Notes
You may swap sriracha for the chili paste, if that's what you have on hand.Please note: The honey substitute I use contains xylitol, which is perfectly safe for humans but toxic to dogs. Be careful if you have dogs in the house.