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 for 5 to 7 minutes, stirring occasionally, until chicken is cooked through and lightly golden.
Reduce heat to medium and pour in sweet chili sauce, soy sauce, and lime juice.
Stir well and cook for 1 to 2 minutes until chicken is sticky and glazed, then remove from heat.
In a small bowl, whisk together mayonnaise or Greek yogurt, sweet chili sauce, and lime juice to prepare the creamy drizzle; set aside.
Warm tortillas in a dry skillet or microwave until soft and flexible.
Lay tortillas flat and layer with lettuce, carrots, cucumber, and red bell pepper.
Top vegetables with sweet chili chicken and drizzle with the creamy sauce if desired.
Sprinkle with sliced green onions.
Fold in the sides of the tortillas and roll tightly into wraps. Serve immediately while warm.