Heat a large skillet over medium-high heat and add in the oil.
Pour the carrot and onion into the skillet and stir fry until soft, about 5 minutes.
Move the vegetables to the side of the pan and pour in the whisked eggs in the empty side of the pan.
Scramble the eggs until firm, about 3 minutes.
Season everything with salt and pepper.
Mix in the white rice and peas and cook for 3 minutes, until warm.
Pour in the soy sauce and mix.
Remove from heat and serve with additional soy sauce, if desired.