For anything that's capable of asking on its own initiative on whether it has a soul the answer is always yes.
I was known in my time. Lady of Butterflies, Princess of Darkness... Mistress of Typos. The funny things was, I was nothing my dreamer was not. And she never bothered to hide any of it, either. We were just... different. Different upbringings, different directions, different stories, but the same motivations. Same wills and dreams. Same final resting place, for a few years at least. But things change.