Heat the grill to high heat. Try to get it as hot as possible (500 degrees F). Stretch the pizza dough to fit a baking sheet. Brush the grill and the dough with oil. Slide and flip the pizza dough oil-side down directly on the grill. Grill until the crust is cooked through and golden, 2 to 3 minutes per side, oiling the other side of the dough before flipping.
Remove the pizza dough from the grill and, while it is still hot, spread on the chocolate-hazelnut spread, leaving a 1/2-inch border for the crust. Top with coconut, bananas, nuts and dried fruit. Cut into squares and serve immediately.