Not a bit. The ark was supposedly floating over an inundated earth less than 4000 years ago. And the tale states that Noah was ordered by a God apparently unaware of the incredible number of animals He Himself had created to crowd them into a boat with a width of 40 cubits.
If the earth had been flooded over the top of Mt. Everest, the resulting atmospheric pressure in the Ark would result in Noah and company literally boiling alive.