To be fair, I also never thought that I make such a game.
Yes, it is definitely possible to get to urinal and beat the game. But it is quite strict (in hindsight I should have given a little more runway...) if you make it to the toilet, you can interact (E) with one of the urinals and win the game.
To get to the urinal, you need to take every shortcut you can find (often it involves throwing things to save steps).
Hope this helps!