Beat eggs with a fork until small bubbles appear. Heat a wok over medium-high heat until hot. Add 1 teaspoon of oil. Add eggs and swirl around wok to form a thin omelette. Cook for 1 minute. Turn and cook a further minute. Remove to a board. Thinly slice.
Add remaining oil, onion, garlic and chilli to wok. Stir-fry for 2 minutes. Increase heat to high. Add broccoli, carrot and beans. Stir-fry for 4 minutes, or until tender and crisp.
Add rice and soy sauce to wok. Stir-fry for 3 minutes, or until heated through. Add egg and stir to combine. Serve immediately.