Yes.
Is there a God-given right not to be a slave?
Yes
Is the right inherent in being human,
Junior and I were discussing the word "inherent" a little while ago. My view is that rights are not inherent but endowed.
or is it the result of being born at the right place or the right time?
I would say that the right to be free was endowed at creation. So, why did the Constitution allow for slavery?
If the right not to be a slave was endowed at creation, why is slavery explicitly sanctioned in Leviticus?
(from dictionary.com -- sanction: Authoritative permission or approval that makes a course of action valid. See Synonyms at permission.
Part two: Slavery was allowed in the constitution because many of the participants in the constitutional convention were slave owners. It was justified by reference to leviticus -- see the link in my previous post. If Christianity clarified the problem of slavery, making it clearly immoral, why did it take 1860 years for Christians to notice that? (except for Quakers). And speaking of Quakers, why is it that the twig branch of Christianity with the fewest members and the least concern for literalism, the first to notice the evil inherent in slavery?