Interesting first post. Welcome to ePlaya, feel free to circle around to the Greeter's Station to post an introduction - I'm sure there's more to you than "wants to play beer pong in the desert"
It's possible you'll get a few minutes here and there where it would be possible. It's also possible (and even likely) that there will also be moments where the winds are enough to pick up and carry off an unsecured ping pong table. You could either bring and build some kind of structure to put the ping pong table in, or you could just leave the frat party game at home. Just worry about getting yourself out there and back in one piece and bring some extra beers/drinks to share with people you meet and you'll be fine. There will be plenty of drinking (and drinking game) opportunities on the playa, Black Rock City is good like that.