Preheat the oven to 350 degrees F (175 degrees C).
Heat a cast iron skillet over medium to medium-low heat. Add 2 tablespoons bacon grease. Stir in broccoli, onion, bell pepper, olives, garlic, oregano, basil, salt, and pepper and cook until vegetables are tender, 7 to 10 minutes. Remove from heat.
Beat eggs in a bowl using a fork. Add mozzarella cheese and cooked vegetable mixture and stir to combine.
Reheat the skillet over low heat; add remaining bacon grease. Pour egg mixture into the skillet.
Bake in the preheated oven until firm and slightly browned, 20 to 25 minutes.
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