The very word “inalienable,” or “unalienable,” as you please, implies the existence of God by the very nature of its use in connection to rights.
The word came from European property law, in which everything was owned by the sovereign, but he granted the use of it to whomever he pleased. The receiver of that loan of property had full use of it, but could not rightfully have it taken from him by any man, nor could he rightfully give it away.
The founders used that word quite deliberately, knowing full well its implications.
So, again, no, there are no unalienable rights apart from God. It’s all dependent on the rule and the whim of of men, not of the natural law, as instituted by Nature’s God.
Actually, inalienable refers to something that cannot be taken or given away. I doesn’t have anything to do with the invisible man in the sky...