Prepare the Filling: In a mixing bowl, combine shredded chicken, Buffalo wing sauce, cheddar cheese, cream cheese, and green onions. Mix until well combined.
Assemble the Egg Rolls: Lay an egg roll wrapper on a clean surface. Place about 2 tablespoons of filling in the center. Fold the bottom corner over the filling, then fold in the sides and roll tightly. Seal the edge with a little water.
Fry the Egg Rolls: Heat oil in a deep frying pan over medium heat. Once hot, carefully add the egg rolls, a few at a time, and fry until golden brown and crispy, about 3-4 minutes on each side. Drain on paper towels.
Serve: Enjoy the egg rolls hot with ranch or blue cheese dressing for dipping.