This just collapses into the question of the existence of God.
If God existed, we can agree that he could recreate us after we die, with our consciousness intact. Imagine a StarTrek transporter with a memory of passenger, that can recreate that passenger at will. One does not even need to grant that there is some non-physical soul “stuff” (other than information that is), just that God has the power and knowledge to recreate us. Then we have an immortal soul.
Such a view is 100% consistent with the evidence of science. There is no evidence for it, but no evidence against it. It all comes down to whether we believe God exists or not, and if He would care enough to bring us back.