I would say no. U can air down to, say 15 psi, and still drive a ways to a gas station after to refill. Its nice to have one forsure, but they are not cheap. Ur better off buying snatch straps, shovel, basic tools, first aid kit, shackles, and a hi lift jack and a CB (even a hand held) imho.
Btw, u might want to find a buddy and practice a little so u can enjoy and learn, instead of being nervous at the meet.
Sounds like a blast! Enjoy it.
2010 JK. Rubicon Express 3.5" superflex, 35" BFG KM2s on Mickey Thompson Sidebiters, Poison Spyder Rocker Knockers, Poison Spyder rear Rockbrawler II bumper, Poison Spyder front Rockbrawler bumper with Warn M8000-S, AEV Snorkel, Spartan front locker.