Can someone buy something from one store, say in California and someone in Georgia pick it up at the store?

Yes but calling ahead is never a bad idea

Ask the store.

Was it bought online in California? If so they can deliver it to a store in Georgia. Arrangements can probably be made even if it wasn't an online order. Call the store and find out their policy about this.

Yes. But if its an on-line order/item, some items in one store (locally for one person) may not be available online for the other. So just make sure both stores do have the same. Depending on demographics, all items are not available for all stores. Hope that made sense. Or as Edyth Branscom stated, '..... store to store transfer.'

Yes, store to store transfer!!!

Yes you can do a store to store transfer.

Yes