Sure it could be.
Noah couldn't have not known about how wide the extent of the flood, and mistakenly think the whole world was underwater...
...except for one essential thing that you have forgotten about.
NOAH didn't write any part of Genesis. You are making assumption that Genesis 6 to 8 were narrated by Noah himself.
Beside that. There are no Noah's version (or Genesis version) of the Flood story in the Early Bronze Age (c 3100 - c 2000 BCE), when Noah's flood supposedly occurred based on the calculation of years in Genesis (eg Genesis 11, the succeeding patriarchs after Noah) and on Exodus 12:40-1 (430 years) & 1 Kings 6:1 (480 years from the time of Solomon's 4th year reign when he started construction on the Temple) - which would have put the Flood between 2400 and 2300 BCE.
You don't find any actual writings of any book in the Old Testament, until the late 7th century, BUT MORE LIKELY in the 6th century BCE.
There are no version of Genesis existing in the 7th century BCE, but there is the chance that passage in Numbers 6 (eg the Priestly Blessing) existed in possibly as early the late 7th century, inscribed on amulet containing the silver scrolls (dated between 630 and 590 BCE), which was found in a cave at Ketef Hinnom.
This tiny scrolls are made out of silver, are the oldest evidence of OT writing. Not even the Genesis is older than these scrolls. You would only find scattered evidence in the 6th century BCE, and you will only more substantial works from the Greek translation - the LXX Septuagint, and in the scrolls from the Qumran caves, the Dead Sea Scrolls.
Second, if the flooding did occur, do you understand mathematics (eg trigonometry and geometry) and the sciences of terrains and hydrology?
If the Flood did occur only in Mesopotamia as you say, as local flood as opposed to global flood, then given there are no navigation in the Ark's design (Genesis 6), if the water was great enough to lift the Ark, then it would stand to reason the Ark would float downstream, towards the Persian Gulf.
The currents of Euphrates and Tigris, and all the tributaries that feed these two main rivers, go from upslope to down, due to gravity, NOT THE OTHER WAY AROUND!
The Ark should have ended in the Persian Gulf if the flood started somewhere in Mesopotamia (or ancient Sumer and Akkad in the 3rd millennium BCE), not going up the Armenian highland, for the Ark to rest on mountains of Ararat.
The design of the Ark (again Genesis 6) also say nothing about propulsion, like masts and sails, or oars. So there are no ways that the Ark could have floated up the slope to increasingly higher land in Anatolia (Asia Minor, or today's Turkey).
And since the Ark of that size as narrated in Genesis 6, with all the people, animals, supplies of food and water, the Ark would have been very heavy.
And if you have learned anything from physics, the greater the mass, the more likely the heavy object go down the incline or slope, not up.
Like the global flood, the local flood scenario would also defy law of physics, like gravity and that water flow downwards, hence down the slope, not upwards towards the mountainous regions.
Third, a large part of Mesopotamia prehistory (from 6500 BCE to 3100 BCE) and history, showed evidence that people who lived in this region - the Mesopotamia - are based on agricultural farming, which in turn, developed urbanisation of towns and cities along these 2 rivers.
Because the water flowed downstream, there are nearly "annual" floodings in this region, which the people, including the Sumerians of 3rd millennium BCE, developed increasing advance method of farming.
For instance, the glaciers from the Armenian mountain range would melt during the Spring season, often causing flooding downstream.
But the water currents also caused erosion of banks of rivers, from the Armenian highlands, and the water will carry fertile loam downstream that become soil for farming crops in Euphrates and Tigris.
Plus the Neolithic people have learned to take advantages of annual flood, by diverting the water, in the basic form of irrigation. The Sumerians of the later period, also make use of the flood, by irrigating water to the fields to grow crops.
But sometimes, flooding become more severe, which would ruin crops and even leave devastation in towns and cities.
One such devastation occurred in the Sumerian city Shuruppak (today's Tell Fara). One king named Ubara-Tutu, was said to be the king before the flood, according to a couple of Sumerian King Lists, and only one of them, include the name Ziusudra - the Sumerian name of earliest flood myth (eg Eridu Genesis and the Death of Bilgames).
Ziusudra became Atrahasis in Old Babylonian literature (eg the Epic of Atrahasis) and Utanapishtim in Middle Babylonian and Neo-Babylonian literature (Epic of Gilgamesh). Ubara-Tutu was said to be Ziusudra's father in the later epics (Atrahasisa and Gilgamesh).
So, Shuruppak was centred of not only the Ziusudra legend, but the archaeological research in this area, does point to flood around 2900 BCE.
See -
Erich Schmidt, Excavations of Fara (1931), Museum Journal, 2, pp 193-217, University of Pennsylvania, and
Harriet P Martin, Settlement Patterns at Shuruppak, Iraq, vol 45, no 1, pp 24-31
And see excavation footage, 1930:
Fara, Tepe Hissar 1930 - Digital Collections - Penn Museum
Schmidt was one of the archaeologists involved in excavations in Iraq. The video has no audio, but it is what published in the Museum Journal (1931) that are of interest.