Preheat a grill to low.
Spread almond paste evenly on each tortilla. Sprinkle 1/4 of the marshmallows and 1/4 of the chocolate chips and 1/4 of the coconut on half of each tortilla. Roll the tortilla up and wrap in heavy-duty foil; seal tightly. Grill over low heat until heated through, about 5 to 10 minutes. Remove foil and place on a plate. Garnish with fresh sweetened whipped cream or prepared whipped topping. Serve vanilla ice cream on the side.