Heat olive oil in a large skillet over medium-high heat.
Add chicken slices and season with salt, black pepper, garlic powder, and paprika.
Cook chicken for 5–7 minutes, stirring occasionally, until golden and cooked through.
Reduce heat to medium and add sweet chili sauce, soy sauce, and lime juice; stir and cook for 1–2 minutes until chicken is glazed. Remove from heat.
In a small bowl, whisk together mayonnaise or Greek yogurt, sweet chili sauce, and lime juice until smooth; set aside.
Warm tortillas in a dry skillet or microwave until soft and flexible.
Lay tortillas flat and layer with lettuce, carrots, cucumber, and bell pepper.
Top with sweet chili chicken and drizzle with the creamy sauce if desired, then sprinkle with green onions.
Fold in the sides and roll tightly into wraps. Serve immediately.