#1501: Legal. Composer was T.R. Dawson in 1927.
In fact, that position comes with a question: "Specify 2 moves that black must have definitely played." By specifying a move, it means that you identify the piece that moves, the starting and ending squares, if a piece was captured, and if so what type of piece was captured.
Edit: I just read JavierGil's post: he's slightly wrong, there are in fact 2 moves that you can deduce must have been played, not just one.
Yep this is legal,Both colors just move their knights