As Ebay is an online market where sellers can put goods up for sale, Ebay itself does not sell Chanel handbags; however, you can find Chanel handbags for sale on Ebay. The seller will directly send you the bag; Ebay doesn't handle any part of that side of the exchange.
The worry some have about buying high end products such as Chanel on Ebay is whether the item is authentic or not. As a buyer you have many protections against such fraud. If you feel the item you purchased is not authentic or not as described, Ebay buyer protection will allow you to return it for a full refund even if the seller states that they will not accept returns.