Short answer - no, not in the way you'd like.
The USB drive must be controlled by some "controller" - whether it be the network SAN switch, a computer, or your TV. Multiple read/write requests will interfere.
However, you can "switch" between the two with a peripheral USB hub such as that below.
This flips between the two, but is effectively the same as unplugging the USB drive and re-plugging it in. So you won't be able to stream shows to your TV, and connect to the same drive on your wireless network.
http://www.cdw.com/shop/products/default.aspx?edc=933040&cm_mmc=ShoppingFeeds-_-GoogleBase-_-Cables-_-933040_Belkin%20USB%204-Port%20Switch%20USB%20peripheral%20sharing%20switchports_BKN-F1U200VYour TV however may be able to access the hard drive on your wireless/wired network if you were to connect the USB drive to a computer or network sharing device, and share it as a samba (windows) shared folder. That would be the best solution.