Probably yes. Certainly under Tolkien's earlier view of reincarnation, which was rebirth as a child; and almost certainly so under his later view, where the
hroa was reconstituted according to the 'firmware' maintained by the
fea: the body as it was or was supposed to be naturally, rather than as mutilated or modified by external forces.
I don't imagine Finrod's new body was all shredded and disembowelled by wolf fangs!