Nah.
Check this map of the world's ocean's reduced in depth by a little over 300 feet (some say the depths were reduced as much as 500 feet). Notice that Gilbralter is blocked as are possibly two other areas in the Med.
Noah got his message from God via all the refugees fleeing everywhere when the mediterranean began refilling after the plug at Gilbralter was broken (scowering marks on the bottom) and began building the Ark on a mountain (Ararat?) because he didn't know how fast the water was rising...with all the rain from the Ice Age ending climate change that was going on (40 days/nights). The cascading (through the med) finally made it to the Bosporus eventually topping it. Once the water stopped rising, Noah was stuck high & dry up on the side of the mountain. Look for the Ark in the mountains.
The last Ice Age surge (melt) happened between 7-8,000 years ago...It may have been this refilling of the Med that caused the problem with Mt Etna that's the source of this article.
The Mediterranean was filled much earlier than the 7 to 9 thousand year ago date, but the Black Sea wasn't.
However, 7 million years ago the Mediterranean Basin was clearly a desert. That's long before the current Ice Age cycle which started about 2 million years ago.
This all makes sense if you keep in mind that Antarctic and NOrth American melts and buildups do not occur simultaneously. One or the other starts first, and is followed a couple of thousand years later by the other.