No.
The stress on the hull is almost entirely from hogging and sagging. The reason wooden vessels the size of the Ark will quickly leak and sink if not pumped out continuously is that flewing of the hull due to wave action.
That's been tested. The Wyoming was a wooden ship the length of the Ark. It had to be continuously pumped out by steam bilge pumps so that it would not sink.
With a length of 450 ft (140 m) from jib-boom tip to spanker boom tip, Wyoming was the largest known wooden ship ever built.
...
Because of her extreme length and wood construction, Wyoming tended to flex in heavy seas, which would cause the long planks to twist and buckle, thereby allowing sea water to intrude into the hold (see hogging and sagging). Wyoming had to use pumps to keep her hold relatively free of water. In March 1924, she foundered in heavy seas and sank with the loss of all hands.”
Today, visitors can appreciate a full-size sculpture of the schooner Wyoming on the grounds of the Maine Maritime Museum in Bath, Maine.
www.experiencemaritimemaine.org
Nope. That has actually been tested on a real ship about as long as the Ark was said to be. This is why no creationist group will every build and Ark and test it in the ocean. They already know what would happen.
Salt or brackish water wouldn't work for the animals. And of course, the pumps would require more energy than the animals would be able to provide on a 24-hour a day basis. I'd be open to your numbers showing otherwise. Two large steam engines were required to run the pumps on the Wyoming, which proved to be not enough in heavy seas.