Fill a wok or heavy bottom sauce pan with at least 2" of oil (corn, canola, peanut - or any other oil with a high smoke point), and heat to 350°F.
Once you have made the won ton wrappers, cut them into 1x3" strips (dust off any excess flour) and place a few at a time into the hot oil. Use tongs or chopsticks to flip wrappers once they start to turn golden. Place on a wire rack to drain, repeat with remaining wrappers. For different textures, loosely fold or twist the wrappers as you place them into the hot oil.
Fry chicken until no longer pink. Finely chop veggies.
To serve, place fried wrappers on a baking sheet, top with chicken, veggies and green onions. Sprinkle with grated cheese and broil until cheese is melted. Remove from oven and drizzle with sweet Thai chili sauce.
Notes
No measurements are included - use as much or as little of the toppings as you like!