In a bowl, whisk the eggs until completely combined. Crush the tortilla chips into the eggs and mix. Season with salt and pepper. Let sit for 10 minutes.
Meanwhile, in a large non-stick skillet, heat a little oil over high heat. Add chorizo and cook until crisp. Pour the tortilla chips and egg mixture over top. Top with cheese and place into the oven for 25 minutes or until puffy and brown on top.