This wooden-handled hammer may look strong enough to pull any nail but because the grain of the wood is actually weaker in this direction, you could break the wooden handle. Here's a couple of tips on pulling nails. Once you get the nail partly drawn, slip a piece of scrap wood under the head of the hammer for better leverage. Or try pulling the handle to the side for a better angle on the nail.
For more on hardware, consider:
Cut Nails: Hammering Home Authenticity