Yes, it's possible. Try the rideshare board as well as here. If you don't have anything by the time you're on the playa, ask around the city. And if you do, check in to make sure that things haven't changed.
One thing. If there are two of you, you might have to split up. 2 people plus gear is an awful lot of cubic footage.
Lose your legs--Become a merit badge.
Remember, you're just a make-believe soldier in an artificial army.