Some chance, yes... But unlikely. You're basically filing an Item Never Received claim. If anything, Paypal may assign "shared risk" and issue a partial refund. (Unlikely.) File the claim now. Don't wait. File it today, and come back to us with updates here.
But if Item Never Received claims were routinely decided in favor of the shipper, let's just say that there'd be a lot of empty boxes being shipped on eBay.
Just be careful what you say, but eBay generally decides along the lines of "The seller has the responsibility of getting the item to the buyer, no matter what."
One thing I continuously find with this stuff is, sellers seem to think that buyers/recipients can file loss/damage claims, or insurance claims. They can't. Even if you "didn't pay for insurance", this doesn't absolve them of their responsibility of getting you the item. What it comes down to is: The buyer's responsibility is to pay. The seller's responsibility is to deliver the item completely, as described.
Unfortunately, there are buyers who abuse this ("you can't prove a negative"), etc... (and eventually, dishonest people may ruin it for everyone.) But as it stands, you're likely to come out favorably or at least partially assisted here.
My first (Attempt) at a GreeNe was on eBay. The seller described it as quote : "WORKING, FULLY FUNCTIONAL - BUT SOLD AS-IS." When it arrived, it was packed diagonally (tube from corner-to-corner) in a thin box, with no packing materials, so that each corner of the box impacted the laser tube fully whenever it was dropped/moved. Sure enough, the bore was cracked and it wouldn't lase.
The guy immediately denied any return/refund requests saying things like, "I SAID AS-IS. CAN'T YOU READ? LOL". (Yeah, this was an 'ALL CAPS' guy) -- Well, I replied, "You also said 'working, fully functional'."
I filed a SNAD (Significantly Not as Described) and got my money back. I did the right thing too though and sent the dead tube back to him, and will never deal with him again, of course. And yeah, he got the negative, after some empty threats that I "better not" leave him a negative.
The point is, when transacting on eBay a lot of people can say some big things to try to snow you... I've been burnt a few times, and *for the time being* it's better to be a buyer on eBay than a seller. There's no telling if those tables will turn, though, depending on how many buyers abuse the system. (And they do, too.)
But for now, you're likely to come out OK.