Nope. The Exodus happened at the end of the Middle Kingdom; the conventional pseudochronology placing Ramses II far enough back to have been the Pharaoh of the Exodus (in the OT, two cities are named, on Pi-Ramesses “place of Ramesses”, the other Pi-Thom “place of Thom”) may have begun as a prop to the Biblical account, but wound up being used to bash the Bible. The synchronisms are fit exquisitely by Velikovsky in his historical reconstruction — oddly enough, other than the supposed super-eruption of Thera.
Ed Schorr (writing as Israel Isaacson or something like that, to avoid problems with his budding academic career) pointed out that any such eruption would have to date five centuries or so later than what remains the conventional date, circa 1500 BC, in order not to conflict with the reconstruction (basically, he framed it as a choice between Worlds In Collision and Ages In Chaos; the fact is, the Thera eruption is discussed very briefly in WiC, and is immaterial to the thesis of that book; Velikovsky simply made a rare error).
There is no documentary evidence of such a mighty eruption in surviving ancient records (not a peep); Herodotus actually discusses the island, and doesn’t mention anything about it; the only ancient source that mentions an eruption dates one to about 200 BC., and since Latin loan words have been discerned in some of the supposedly much older Linear B texts, and the Romans arrived around 207 BC, Linear B was still in use for a long time after the supposed Dark Age of Greece (another mythical construct that is a consequence of the conventional pseudochronology).