As outlandish as it looks, I think it could have flown. The Convair "Pogo" tailsitter built postwar successfully demonstrated vertical takeoff, transition to horizontal flight, and vertical landing. But it was also discovered that even with a seat that tilted, the pilot could not see the ground during landing, making it difficult to gauge exact touchdown position, descent speed and altitude. Remember this was the wild and wooly days of analog vacuum powered instruments which had lag and were not 100% accurate. Today, with modern digital instruments, landing could be completely automated, perhaps using a portable beacon placed at the exact landing spot.
I do wonder how the Triebflugel would have handled in horizontal(ish) flight, being that it had no wings. Its flight path would probably look like the Dow-Jones average. Ejection would probably have been like the Do-335 - the wings would blow off via explosive bolts before the pilot exited the aircraft.