Heat oil in large skillet on medium-high heat. Sprinkle chicken with salt and pepper and add to skillet. Cook chicken stirring occasionally until all sides are brown and is cooked thoroughly.
Add peppers, carrots and garlic and cook until slightly tender, about 5 minutes.
Mix cornstarch with soy sauce. Add to skillet with pineapple with juice, vinegar, sugar and ginger. Cook for an additional 3 minutes until sauce has thickened.