Maybe - let's assume that we could simulate a human brain to a high level of fidelity starting from a known good state and emulate its input and output. Do you think we could poke at it enough and ask the simulated person about their experience enough to discover the mechanisms behind what we experience as a soul? It's logistically and computationally insanely complex to pull off, but if we could build such a system, I don't see why we couldn't eventually figure it out in another thousand years' time (assuming we don't destroy ourselves or do something that sets back the evolution of technology massively between now and then).