Preheat the oven to 425°F (use an ovenproof skillet such as cast iron or enamel).
Pat the 1 pound boneless, skinless chicken thighs dry and season both sides with a pinch of salt and a pinch of pepper.
Heat the skillet over medium-high heat and add 1 ½ tablespoons toasted sesame oil. When the oil is hot and shimmering, add the chicken in a single layer and brown 1 to 2 minutes per side, until golden. Remove the chicken to a plate.
Add the 3 peeled, sliced carrots, the 1 thinly sliced red bell pepper, and the 2/3 cup sugar snap peas to the skillet. Toss to coat in the oil and browned bits. Cook, stirring occasionally, until the vegetables begin to soften, about 5 to 6 minutes.
Turn off the heat and arrange the browned chicken on top of the vegetables in the skillet.
In a 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 on 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.
Carefully remove the skillet from the oven, let rest a few minutes, then serve.