Preheat oven to 375 degrees F.
Heat olive oil in an oven-safe skillet over medium-high heat. Stir in the chipotles and adobo sauce. Gently stir in the tortilla chips, breaking them up slightly and you turn them to cover them in sauce. Fry for approximately 1 to 2 minutes, then stir in salsa and shredded chicken.
Make 4 wells in the nachos for the eggs and crack each egg in one. Place the skillet in the oven and bake for 13 to 15 minutes, or until eggs are set but the yolks are still runny. Top with cheese and bake for an additional 1 to 2 minutes until the cheese is melted.
Garnish with lime wedges, chopped cilantro and chopped cherry tomatoes. Serve with sour cream and hot sauce.