Microwave the sweet potato cubes with 2 tablespoons water in a covered bowl for 5 minutes, then drain them well.
Heat the oil in a large nonstick skillet over medium-high heat and cook the onion and bell pepper for 4 minutes.
Add the sweet potatoes, paprika, salt and black pepper and spread them into an even layer.
Cook without moving for 4 minutes, turn the potatoes and cook until browned and tender, about 6 minutes more.
Fold in the pulled pork and cook until hot with crisp edges, 4 to 5 minutes.
Make four wells, crack in the eggs, add 2 tablespoons water at the skillet edge and cover.
Cook until the whites set but the yolks remain soft, 3 to 5 minutes, and serve from the skillet.