Preheat the oven to 350 degrees F (175 degrees C). Spray a 10-inch pie dish with cooking spray.
Heat oil in a pan over medium heat; add meatless ground beef. Break up and cook through until browned and crumbly. Shake onion soup pouch, mixing up contents well. Using a spoon, scoop up half of the soup mix and incorporate into the pan. Add more to taste; discard remaining mix or reserve for another use. Stir in water.
Remove from heat and fold in Cheddar cheese. The cheese should not be entirely melted, just evenly distributed through the mixture.
Divide meatless mixture into 8 equal portions. Unroll crescent roll dough on a work surface, working on one at a time. Press dough with your fingers to flatten and slightly enlarge the space, making sure the widest area is facing you. Mound one portion of meatless beef mixture on the wide area and gently roll up to the tip. Tuck the edges of the roll up around the side of the bundle. Place in the pie plate. Repeat.
Bake in the preheated oven until golden brown, about 15 minutes.