Yes you can! Heat the grill to high when hot, brush the whole piece of meat with olive oil and add the whole, tied flank steak to the grill. Turn it every three to four minutes to sear all four sides (or angles). Close the lid while searing each side. Total searing time should be between 8 and 12 minutes. Leave  your main burner on high and shut off all the other burners. Move your steak to the side of the grill where the heat is off. Brush more oil over the outside of it. Close the barbecue lid. Every 10 minutes or so, rotate the meat, brushing the outside with oil.  Your stuffed steak will be ready in about 30 minutes. Maybe a little sooner or longer, so keep an eye on it. At the 20-minute mark, shove the thermometer into the center. Cook until the thermometer reads 150 degrees.  Transfer to a cutting board, tent it with foil, and allow it to rest for 10 minutes before serving. Remove the twine and slice the steak into 1/2 to 3/4 inch thick slices. Use a knife with a serrated edge to saw through it. Do not press on the knife as slicing will be easier. Serve and enjoy every bite.