Pat chicken dry and slice into thin strips or bite-sized pieces. Season evenly with salt, pepper, paprika, and onion powder.
Heat olive oil in a large skillet over medium heat and add the chicken in a single layer.
Cook for 4–5 minutes, stirring occasionally, until chicken is cooked through and lightly golden.
Lower heat and add minced garlic, stirring for about 30 seconds until fragrant.
Remove skillet from heat and slowly stir in Greek yogurt until fully incorporated.
Add shredded cheese and stir gently until melted and creamy.
Warm wraps briefly in a dry skillet or microwave.
Divide the chicken mixture evenly among wraps, fold tightly, and serve warm or store for meal prep.