I've read instances, not necessarily on VZW, where a sim card will append itself to the second phone if it's moved there. When people try to move the sim card back to the first phone, it doesn't work anymore. It might be better just to visit a carrier store and get a new sim. They'll either give it to you for free, or for cheap. After all, they want to keep you on their service.
Other than that, you can just try to move it there and see what happens... providing it fits.