It seems like it would be pretty hard to define 'soul' in such a way that it would apply to all humans and no non-human-animals. So... yes?
or easy:
i think we have the concept of a soul because we are such a mystery to ourselves, because we see that derived pattern of all the interconnected things that make us tick, and we can never fully understand what it is, so we give it a name and make it into a thing, and then when we think about death that thing happens to give us a loophole over the fear, a hope that us and our loved ones can persist beyond what we see gone.
for something to have a soul, it needs to be able to:
1. acknowledge it's own derived pattern of being.
2. wonder where it comes from.
3. have the audacity to create our own answer.
4. fear death enough to seek a loophole.
5. be creative enough to use our invention as the loophole.
self-awareness, curiosity, arrogance, existential fear, resourcefulness.... i know of no other animal that has all 5.