If the point in time is different, technically this is possible. They wouldn't have to be Jews but simply a large mass of enslaved people. Maybe they were people that became the Jews, or maybe there is no relation to Jews. Christianity, after all, has no problem rebranding old tales as its own and twisting the facts a bit to make it fit its view.
from the article: Were Jews ever really slaves in Egypt, or is Passover a myth?