Didn't F1 cars briefly have downforce fans (basically suction fans underneath the car) until it was ruled out of spec? Basically a "reverse hovercraft" trick, normally used for handling, but "turned up to 11" here.
On the front of cars you can actually buy and drive there is the McMurty Spierling an electric single seater with a fan generating more downforce then it weighs (can go upside down)
However neither the engine, nor anything else, is designed to operate upside down, so it wouldn't be able to do it for very long.
I imagine it must be able to do some comical cornering.