Well... no.
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You're supposed to use different meshes or the fingers will be funny, or so I've heard (the voices aren't quite clear on such things <_< ).
But the body part records in game have to have the same ID, except that the first-person has .1st at the end.
So you have the meshes: bb\handm_o.nif and bb\handm_o.1st.nif and the body parts bb_handm_o (linked to the first mesh) and bb_handm_o.1st (linked to the second).