No, completly impossible. If you would want to try very suicidal attitudes, aircraft would go into alternate law. If you would lose part of your flight controls (ailerons, elevators) you would also fall into alternate law. You could hang it on a very tall crane and let it fall with zero forward speed, but then it would be still in ground mode and not normal law...
Or you could get into a heavy windshear (say 100kts within a second or so), so that the aircrafts authority to pitch down wouldn't be enough, but split seconds before stall you would lose valid speed information and crash in alternate law, too.