Yes. The ski you want has to be at least 125mm underfoot otherwise you won't progress as quickly as your friends.
Try the "DPS Spoon." It's great for beginners. Slight twin, and works great in all conditions. If you look at the guys in TGR films, they're all pros, right? They aren't skiing on super skinny skis. They are on fat skis.
If you want to be really good your first few runs this season, the Spoon or maybe ON3P's Pillowfights are the way to go. But choose one of those. Nothing else.