Prepare the filling by mixing the chicken, buffalo sauce, cream cheese, cheddar cheese, and green onions in a mixing bowl.
Lay one egg roll wrapper on a clean surface, with a corner facing you.
Add 2 tablespoons of the chicken mixture to the center of the wrapper.
Fold the bottom corner of the wrapper over the filling, tucking it in tightly.
Fold in the sides and then roll up tightly, sealing the top edge with a bit of water.
Repeat the process with the remaining wrappers and filling.
Heat vegetable oil in a deep pot or a deep fryer to 350°F (175°C).
Carefully place the egg rolls in the hot oil and fry for 3-4 minutes until golden brown.
Remove the egg rolls and place them on a paper towel-lined plate to drain excess oil.
Serve warm with extra buffalo sauce or ranch dressing on the side.