Heat olive oil in a large skillet or wok over medium-high heat. Add onion and red pepper and let cook for 4 minutes.
Add in carrots, garlic, scallions, and peas. Stir frequently allowing scallions to wilt a bit, about 2-3 minutes.
Push vegetables to one side of the skillet and add the eggs to the other side. Using a spatula, lightly scramble them.
Add rice, soy sauce, and red pepper flakes to skillet and stir everything together. Cook another 2 minutes to heat through.
Serve in bowls and top with more red pepper flakes if desired.