There is no way to get this position with black to move.
In the following position there is a way to get it's starting position with black to move
However, in the following this is impossible
This is because the knight and kings both must use an even amount of moves to get back to their original position. Meaning that their loops will finish on the same move and the loop will end with black's move, making the starting position be white's move.
Back to the original position that every game of chess starts with
We can't move the pawns as pawn moves are irreversible, meaning that we can only move the knights and move the rooks once the knight is moved. We know that the knight always takes an even number of moves to loop back to it's original position, and the rook only has 2 squares meaning that it must take 1 move to leave its starting square and 1 move to get back, meaning both the rook and the knight take an even amount of moves to loop back to the start. Which means that it is impossible to reach the starting position with black to move.