Preheat the oven to 425°F (220°C). Place an oven-safe skillet (cast iron or enamel) on the stovetop over medium-high heat.
Add 1 ½ tablespoons toasted sesame oil to the hot skillet. Season the 1 pound boneless, skinless chicken thighs with a pinch of salt and pepper on both sides.
Add the chicken thighs to the skillet and brown until golden, about 1 to 2 minutes per side. Remove the chicken from the skillet and set it on a plate.
Add the 3 peeled, sliced carrots, the thinly sliced red bell pepper, and the 2/3 cup sugar snap peas to the skillet. Toss and cook, stirring occasionally, until the vegetables are softened, about 5 to 6 minutes.
Arrange the browned chicken thighs on top of the vegetables in the skillet.
In a small bowl, whisk together 3 tablespoons low sodium soy sauce, 2 tablespoons chili garlic sauce, 1 tablespoon rice vinegar, 1 tablespoon honey, 1 teaspoon grated ginger, and 1 minced garlic clove.
Pour the sauce evenly over the chicken and vegetables. Sprinkle 1 tablespoon toasted sesame seeds over the top.
Transfer the skillet to the preheated oven and bake 15 to 20 minutes, until the sauce is bubbly and slightly thickened and the chicken is cooked through (internal temperature 165°F/74°C if using a meat thermometer).
Remove the skillet from the oven and let the chicken rest a few minutes before serving.