Is this position possible to have been made legally?

This was posted on reddit https://www.reddit.com/r/chessbeginners/s/CnqLQZu4RA

It comes with saying pawn to g5 was blacks last move and this is checkmate in one.

Now that is easy to see, however I'm not sure how this position was reached.

Like I think before g5 whites bishop must have captured a pawn on f4, but I can't see how it got there easily.

Is this possible? It's definitely a convoluted position with how the black king has ended up. But could this be the result of legal moves?

White's previous move was probably Ng5-e6 or Ng5xPe6, discovering check from the Bf4. There is no further difficulty in reaching that position from the initial array with legal (and possibly even plausible) moves.

Using the idea given by Noam in their answer (1. Ne6+ g5), I've found a line that gets to this position by move 17.