Rules-as-written, I don't think this is clearly defined. All Classes can currently have a Pale Self. As for a more classical depiction of the soul, that's up to the GM.
I'm asking is because I'm making the Artificial character type and I been thinking of how they're different from the Faberge and the Shell, and I come to the conculsion of making them have no soul, unlike the Feberge or the Shell which have something like a soul.