No, well, depends.
I don't believe in souls as a meta-physical sense, but the thing is, some people often refer to the 'spirit' of someone as a metaphorical thing, it shows there drive, courage and such. In which case, if you call someones happiness and courage someones soul, then you could theoretically say that people do have a soul. Can an AI have one? It can if it is programmed to feel courage and strength and such.
Do you believe that you can only understand a system by breaking it down to it's most fundamental components (reductionism)?