Prep the Chicken: In a medium bowl, toss the cubed chicken with the cornstarch, salt, and pepper until evenly coated. The cornstarch is the secret to a "velvet" texture and a thicker sauce.
Whisk the Sauce: In a small bowl or mason jar, whisk together the bourbon, low-sodium soy sauce, honey, apple cider vinegar, and red pepper flakes. Set aside.
Sear the Protein: Heat 1 tablespoon of olive oil in a large skillet or wok over medium-high heat. Add the chicken in a single layer. Cook for 5–7 minutes, tossing occasionally, until golden brown and cooked through. Remove the chicken from the pan and set aside.
Steam the Broccoli: Wipe the skillet quickly if needed. Add the broccoli florets and 2 tablespoons of water. Cover with a lid and steam for about 2 minutes, or until the broccoli is bright green and fork-tender.
Sauté the Aromatics: Remove the lid and push the broccoli to the side. Add the remaining 1 tablespoon of olive oil, the minced garlic, and the grated ginger. Sauté for 30 seconds until fragrant.
Glaze and Finish: Pour the bourbon sauce mixture into the skillet and return the chicken to the pan. Simmer for 2–3 minutes, stirring constantly, until the sauce thickens into a glossy glaze that coats everything beautifully.