At high speed, an F1 car produces downforce greater than its own weight, so the physics checks out on paper. Nobody has tried it, for obvious reasons.
The catch is everything else: fuel and oil systems are built for gravity pulling the usual way, and the car would need to reach speed before the ceiling began. It remains the most famous thought experiment in motorsport.
Why it is in the vault: it is the kind of find worth coming back to. Add sources, corrections and related links in the discussion thread.