You cannot do anything with a dragon soul unless you are Dragonborn. If there was a way, the current dragon problem in Skyrim, as in Alduin resurrecting dragons by handfuls, would not occur. However, I don't see why you cannot just have Mora teach your guy a shout, without dealing with any souls. After all, the draugr hardly absorbed any dragon souls to learn shouts. Nor have the Greybeards.
You cannot do anything with a dragon soul unless you are Dragonborn. If there was a way, the current dragon problem in Skyrim, as in Alduin resurrecting dragons by handfuls, would not occur. However, I don't see why you cannot just have Mora teach your guy a shout, without dealing with any souls. After all, the draugr hardly absorbed any dragon souls to learn shouts. Nor have the Greybeards.