The short answer to this question is of course, yes* they can crack nuts, but it is not recommended. The Nutcracker has changed from a functional nut cracker to an ornamental traditional Christmas figurine.
Can nutcrackers crack nuts?
Most nutcrackers don't crack nuts.
What type of nuts do nutcrackers crack?
The most famous varieties that should be OK in a standard nutcracker include English walnuts, almonds, hard-shell pecans, and Brazil nuts. Click here to see this nutcracker on Amazon. Sometimes, you could crack hazelnuts in a standard nutcracker, but most chefs find that's too aggressive.