Yes, the Verizon 8X supports Wireless charging, you just need a standard "QI" charger to do it. You can find assorted chargers for this all over the place now.
I went on ebay and picked up a Energizer QI charger for $16.49 before I got the phone, works awsome (a little big because it can charge 2 devices at once).
I use the following charger from Nokia and it works great:
I leave it on my night stand and just drop the phone on it when I'm ready for bed. My experience has been that it takes about twice as long to charge as your typical plug-in charger. But since I'm usually charging it overnight, that's not really an issue.