Heat 1/4 cup olive oil in a large skillet over medium heat. Add green onions, shredded carrots, eggs, ginger paste, minced garlic, and salt. Stir gently until eggs are cooked through, 4 to 5 minutes. Transfer to a bowl.
Pour remaining 1/4 cup oil into the same skillet and add rice. Fry for 2 minutes. Add soy sauce, oyster sauce, Sriracha sauce, and sesame oil; stir to combine. Add egg mixture back into the skillet and stir gently to combine. Cook for 2 minutes more.