Crumble ground beef into a large skillet over medium-high heat. Cook until evenly browned, then drain off grease. Add taco seasoning and cook according to package directions. Set aside.

Heat 1-inch-deep oil in a large skillet or preheat a deep fryer to 375 degrees F (190 degrees C).

Lay out one egg roll wrapper at a time. Place a rounded tablespoon of seasoned ground beef in the center. Top with a small spoonful of green chilies and a little bit of shredded cheese. Roll up according to package instructions, and seal edges, wetting with water if necessary. Repeat with remaining wrappers and filling.