Huh, I haven't thought about that... When I saw the post title I was al ready to give a speech about gaseous investiture and healing but that's not what you're asking
I think that depends on a few things. I've always seen the shardblade wounds as not being missing parts of the spirit exactly, more like corpse parts still attached... so like, not a human spirit anymore, the spirit of an object fused with the human spirit. IF that idea is correct, then yes you would be able to although it would not be the best way of doing it.
Otherwise, I frankly have no idea. I'll think on this.