Yes, they virtually have the same use. There is a slight difference between then, however:
Staves (plural of Staff) are usually wooden rods the length of a cane or a walking stick or longer. They can be used as just walking sticks, and as a repository of magickal energy to aid in spellwork. Some think of the staff as a large wand while others feel that it is a separate kind of tool altogether. The staff is one of only two common tools which is supposed to touch the ground in normal use (the altar is the other).
The Wand is a consecrated short stick used to store and/or manipulate energies and possibily to store spells. It can symbolize either the Fire or the Air element (depending on your tradition). It can be made from any material such as wood, glass, crystal, plastic, metal, et cetera. It can be plain or fancy with pain, inscriptions, crystals, feathers, beads, or other decorations. Some traditions use a wand in situations were it would be inappropriate to use a blade.
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