EDIT (02/24/21) It seems that this solution has been patched, at least on consoled.
Sorry! But you can still take a look at UntilTammaroYT's guide for this achievement here : Solution for Lava Cave Master in Rain on Your Parade
Based on Kevas048's solution for the "Infiltrator Master" achievement, I can confirm that when you start this level, just run out of water at the beginning and you get this achievment. :D
BUT remember that you can do this only in New Game+
This solution could also be patched in the future!