Brush the edges of a wonton wrapper with a little water. Place one graham cracker piece, 2 mini marshmallows, and 4 chocolate chips in the center of the wonton. Fold the top of the wonton wrapper over the filling and press to seal. Repeat with remaining wonton wrappers.
Heat the oil in a skillet over medium-high heat. Fry wontons until golden brown on either side. Remove from pan to the prepared cookie sheet. Sprinkle with powdered sugar and serve warm to your impressed guests.