Of course he's got a soul! Just because he's not from Earth, doesn't mean he's a thing.

[ the planet cray is (was) full of all kinds of creatures, much more diverse in sentient life than earth. but the two were inexplicably tied, so if chrono was here, the denizens of cray had most likely met the same fate no matter what. ]

...anyway, you sent that image of that dragon, right? I thought you said you didn't know what they were.