Stir the yogurt, 2 tbsp sweet chili sauce, and black pepper in a small bowl; set aside.
Toss lettuce, cucumber, and red onion with lemon juice and a pinch of the salt.
Pat halloumi dry and brush both sides with 2 tbsp sweet chili sauce.
Heat a nonstick skillet over medium-high heat and add olive oil.
Sear halloumi 2–3 minutes per side until deeply golden and crisp at the edges.
Warm tortillas briefly in the skillet or microwave until pliable.
Spread remaining 2 tbsp sweet chili sauce over tortillas. Layer halloumi and the crunchy salad.
Drizzle with the yogurt sauce, sprinkle cilantro, then roll into snug wraps and serve.