If Moses lived 120 years, he would have been alive during the reign of King Tut, 1332–1323 BCE

Was there a man called Moses, and if so, when did he live?

Exodus 7:7:

“Moses was eighty years old and Aaron was eighty-three, when they spoke to Pharaoh.” 

Deuteronomy 34:7:

“Although Moses was one hundred and twenty years old when he died, his eye was not dim, nor his vigor abated.” 

Working backwards from the Merneptah Stele (1210 BCE), and according to Exodus, the Israelites wandered for 40 years in the wilderness, so the Exodus could have occurred no later than 1250, during the reign of Ramesses the Great (1279-1213 BCE).  And if Moses did die as late as 1210, then he could have been born at the time of King Tut (1332–1323 BCE), or at least have been alive during the reign of Tut.

Burial Mask of King Tut, Egyptian Museum

Chariot of Tutankhamun