No.
When we sellers make that kind of an error, it's a case of 'suck it up, buttercup'.
You, the buyer, paid on the basis of the advertised cost, including the $13 shipping. Unless, BEFORE bidding, you requested a more expensive service, that's all he can collect.
Politely tell him that you cannot see your way to paying any more than the advertised cost. Ask him for the date and service of shipping as well as the tracking number.
If he does not ship, or if he tells you he has shipped but the item has not arrived after Day 20 from purchase, open an Item Not Received Dispute.
If he does not provide proof of delivery or a refund, Paypal will refund you and go after him for their money. There will be other fallout that will be more costly to his selling account than $17 in postage.
Politely-- Captain Malcolm Reynolds