The archaeological evidence is very limited to confirm this. Evidence for the person Moses and Joseph do not exist. There is evidence of dates and places mentioned in Exodus, but the numbers is clearly unrealistic, and the entry into Palestine and the Conquest of Canaan. There is some evidence for a limited migration of a mix of Hebrews and non-Hebrews. I found a lot of selective articles supporting Genesis, but failing to present the whole evidence.
The following reference evaluates the claims of evidence for and against Exodus.
ABSTRACT: This article comprehensively links sequential archaeological periods to the Bible rather than the Bible to archaeological periods dated by Egyptian history. The Bible, rather than a flawed Egyptian chronology, is used to date each period. Israel, normally placed in the Iron Age, is a Bronze Age culture. The Exodus starts the MBI, settled Israel starts the MBII, and the monarchy starts the LB. A corrected chronology results in a refreshingly convincing agreement between the Bible and archaeology at every period. We have no early texts of Exodus to halp confirm the account.
Copyright Ó 2002-20 Bruce Alan Killian updated 24 July 2020 email: bakillian at earthlink.net
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www.scripturescholar.com/BibleArchaeology.pdf
THE PROBLEM
The Bible and archaeologists do not tell the same story. The conquest of Canaan is a good example: The Bible says Joshua conquered the whole region leaving no survivors (Josh 10:42 cf. 11:16-23). Archaeologists say Israel “emerged” from among the Canaanite peoples without a conquest.
[1] They say this because there is evidence of neither culture change nor comprehensive conquest. Archaeology has proved the Bible wrong.
Major differences between the Bible and archaeology are: There is no evidence of the destruction of Egypt by plagues at the Exodus. There is no evidence of a forty-year wilderness wandering, no evidence of a rapid and complete conquest by Joshua, and no evidence for a wealthy internationally trading kingdom of Israel under King Solomon, etc.
Properly interpreted archaeology should tell the same story as the Bible. The big details should match: plagues destroyed Egypt, Israel wandered forty years in the wilderness, Israel attacked and conquered Canaan, etc. Most recent archaeologists deny there is substantial evidence for these events.
Archaeologists cannot necessarily tell whether a culture is Canaanite or Israelite. They can tell cities were destroyed, but not necessarily how they were destroyed. They can tell the inhabitants were city dwellers or nomads. They can tell the difference between a poor local economy and a rich international economy. Most reconcilers pick one event, such as the Exodus or conquest of Canaan, not the big picture. The big details should match, but as currently interpreted, they do not. The goal of this article is to look at the big picture and provide a solution.
Read on the article is comprehensive . . .