The answer could be yes—both archaeologists and historians believe the Tower of Babel from the Book of Genesis actually had a historical counterpart in ancient Mesopotamia: Etemenanki.No historian thinks that a Tower of Babel as told in Genesis 11 ever existed. But the legend of the Tower many have been based on an actual very ancient temple-tower (a "ziqqurat") in ancient Babylon.But though modern research has revealed plenty of potential evidence that such a structure not only existed but was known throughout the ancient world, the case for a real-life Tower of Babel is far from closed.
It seems likely enough that Judean exiles who saw the ruins of Etemenanki in Babylon inferred the Tower of Babel story from it. There was also a Sumerian version of the story of the confusion of tongues. It is possible that some version of it was still in circulation during the Exile. See also here and here.
Visit PaleoJudaica daily for the latest news on ancient Judaism and the biblical world.