No, all in a state park.
Not that i remember seeing. We took a lil cooler with us and stopped along the trip and chilled out and ate then done a lil fishing.
Actually you can grill at the Dennison Ferry Day Use area also at Sloan's Pond and Houchins Ferry. These are all within Mammoth Cave National Park. Also the may be additional picnic areas at Maple Springs Campground/Trailhead and the Bluffs Trailhead.
There are no grills at green ferry parking area. You can make a fire and cook on any island on the river or there is a picnic area back up at Dennison ferry where you put in.
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