Heat 2 tbsp of coconut oil in a large skillet or a wok. Pour in the eggs and cook, stirring until just scrambled. Immediately remove from the pan into a small plate and set aside.
Add the remaining coconut oil and sesame oil into the pan and increase heat to high. Add green onions, garlic, and ginger. Stir-fry for 1 minute. Add the carrot and broccoli or kale. Continue to stir-fry for 2 more minutes, then add red pepper and peas. Stir-fry another 2 to 3 minutes.
Add cooked rice, tamari, chili sauce and scrambled eggs to the pan. Stir-fry until the rice is heated through and the tamari is evenly mixed. Garnish with a squeeze of lime and fresh cherbs, and toasted nuts, if using, before serving.