Whisk honey, soy sauce, garlic, ginger, and cornstarch in a small bowl until smooth to create the sauce.
Heat 1 tablespoon of olive oil in a large skillet or wok over medium-high heat.
Season chicken with black pepper and sear in the skillet until golden brown and cooked through, approximately 6 to 7 minutes. Remove chicken from the pan and set aside.
Add the remaining 1 tablespoon of olive oil and the green beans to the same skillet.
Add 1/4 cup water to the pan, cover with a lid, and steam for 3 to 4 minutes until the beans are tender-crisp.
Remove the lid and return the cooked chicken to the skillet with the green beans.
Pour the prepared honey garlic sauce over the chicken and beans.
Cook for 2 to 3 minutes, stirring constantly, until the sauce thickens into a glossy glaze that coats all ingredients.
Serve immediately over rice or as a standalone low-carb meal.