Warm the olive oil in a large skillet over medium heat.
Sauté bell pepper, jalapeño, and green onions until softened, 3–4 minutes.
Stir in garlic and cook 30 seconds until fragrant.
Add chicken, black beans, corn, and spinach. Season with cumin, chili powder, paprika, salt, and pepper. Cook 3 minutes.
Remove from heat. Stir in lime juice, then fold in cilantro and cheese. Let cool 5 minutes.
Whisk flour and water into a smooth paste for sealing.
Lay out wrappers. Spoon about 1/4 cup filling on the lower third, fold sides in, and roll tightly. Brush edge with slurry to seal.
Heat vegetable oil in a deep skillet to about 350°F. Fry rolls in batches, 2–3 minutes per side, until crisp and golden.
Drain on a rack or paper towels. Rest 2 minutes and serve warm with your favorite dip.