Preheat the oven to 425°F. Line a baking sheet with parchment paper.
To a large skillet set over medium heat, add the olive oil and ground turkey. Cook, breaking it apart with a spatula, until it is no longer pink, about 5 minutes. Add the garlic powder, ground cumin, chili powder, salt and pepper and cook, stirring, until combined.
Transfer the meat mixture to a large bowl then stir in the black beans, corn and cheese.
Arrange the egg roll wrappers on a dry work surface so that the corner of each wrapper is closest to you. Add a small amount of water to a dish.
Place 1/3 cup of the turkey mixture in the lower third of each wrapper then beginning at the bottom, roll the wrapper up and fold the edges inward. Before your final fold, wet your finger with the water and rub it around the edges. Roll the wrapper shut, pressing to seal the edges together.
Arrange the filled egg rolls, seam side down, on the baking sheet then coat them with cooking spray.
Bake the egg rolls until they’re golden brown and slightly crisped, about 15 minutes. Remove the egg rolls from the oven and serve them with guacamole or salsa for dipping.