Step 1

Shave carrot and cucumber into ribbons using a vegetable peeler; discard seeds and cores. Place carrot, cucumber, 1/4 teaspoon salt, and sugar in a medium bowl; toss to combine.

Step 2

Heat a large grill pan over medium-high heat. Rub both sides of turkey with oil; sprinkle with remaining 1/4 teaspoon salt and black pepper. Place turkey in pan; grill 3 to 4 minutes on each side. Let stand 5 minutes. Thinly slice cutlets.

Step 3

Wrap tortillas in damp paper towels; microwave at HIGH 1 minute. Divide turkey, carrot mixture, and green onions evenly among tortillas. Drizzle evenly with hoisin sauce; roll up.