My family member has a Maine Coon who does that also, the cat climbs the screen, grabs the door handle kicks the door frame to open the door, then swings on the handle and tosses herself outside.
The first day I was there they told me to keep the front door closed to keep the cat in, so I left the screen door closed. I was standing outside and watched a cat fly out the door from 3 feet it the air, to screams of "who left the door open?!". Luckily the cat only eats cat food so she came back in a few hours.
Does your Coon do something similarly amazing?
Not quite, thankfully. He just gets up on his hind legs and pulls down on the door handle if he wants to get into a particular room. Since he's leaning on the door at the time, the door opens from his weight as he pushes against it.
He would never eat the last of his food always pulling some object over the unfinished meal. Lucky loved the rain and to play in the sprinklers also.
Our coon turns on the water faucet. He also opens doors and also pretends to be an area rug, lying on his back sound asleep with legs spread out.