You can't have duplicate BIN listings, but you are allowed to list an item as BIN and auction at the same time. You could - if the item was popular enough - have a BIN listing plus a few different auctions all running at the same time, but you have to be careful as the duplicate auction policy is a bit... erratic, as it were.

If you list several auctions for the same item and they end without selling, eBay can consider it a policy violation, whereas if the auctions sell consistently, it's not a policy violation. 

I'd probably just do the BIN with one auction.

http://pages.ebay.com.au/help/policies/listing-multi.html