This is not Hogwarts... So I vote nay... I'm perfectly content with my elemental digits or my staves.... :foodndrink:
The Skyrim team clearly already took some pointers from Harry Potter. The protection spell and the wand/staff that casts light both manifest in ways very similar to spells seen in the Potter films.
That said, wand, staff. . . more or less the same, except a staff can also be used to bash someone over the head. Actually, a staff can be a wand and vice versa. By the old definitions, any staff with magical properties IS a wand, and a wand can be staff length. In The Hobbit, Gandalf's staff is alternately reffered to as a staff and a wand.