No, Susan's date of 2344 is commonly accepted as correct by those who believe in a Noachian flood and literal Biblical interpretation.
Unfortunately there are a number of cultures with historical records going back before that, and no flood interruption is detected. Egyptian, Sumerian, and Chinese come to mind.
Interestingly enough there are no Jewish cultures. Archaeology (and the modern Israelis are fanatical archaeologists) can detect no trace this early.
So, pp, which of Noah's sons do you claim fathered the entire race of Egyptians?
It is true that giving exact dates to events 5,000 years ago is difficult. But we have some written records, large amounts of archaeological materal, large amounts of radioactive decay dated material (which everybody agrees is accurate in this time span), and a small amount of inferential astronomical data, all of which converge on the same dates.