Can white force this position
[Title "KN vs K"] [FEN "8/8/8/8/8/8/5k1N/7K w - - 0 1"]
into this position?
[Title "KN vs K"] [FEN "k7/8/1K1N4/8/8/8/8/8 w - - 0 1"]
Background: Yesterday I finally figured out the KBN vs K after one year of trial and error. Solving endgame problems like this is like crack to my brain. The 'fifth' fundamental checkmate and next in line seems to be the KNN vs KP.
In this game, one of the Ns only play a passive role, with the other N and the K are doing all the moves, I started wondering if the same approach is possible in the KBN vs K: Force the king to the corner with only K and N, and then deliberately deliver the checkmate with on B's first move.
Any concrete suggestions that could lead to an answer will be greatly appreciated.
A related question: is there an engine that can search for such non-checkmate positions?