Somewhat. It depends on the environment, but the sweet spot is to aim one level dressier/more conservatively than they are. If it's shirtsleeves, then you wear a tie. (You should regardless, never dress lower than shirt and tie). If they're sleeves and tie, you wear a tie and jacket. If they're businessy casual, you go business suit. Etc.
The idea is to dress like you'll fit in, but up enough that it's clear your application is a serious one.
Let me give you a story about what I mean:
I once went to an open house for a large consulting corporation. They were recruiting programmers. The lineup was long, so it wasn't so much an open house as a walk-through. Maybe 5% of the people there were wearing a tie. I wasn't wearing a full business suit (didn't have one that fit comfortably) or anything, but I was there in good pants, decent shoes, a good (non-white) shirt and decent tie. No special jacket as it was a warm evening.
I was rather surprised (and somewhat disgusted) at how many went in with wildly-scruffy hair wearing socks and flip-flops, and basically looking like they just came from a back-porch kegger serving coors light.
So when I was inside, I observed a large group of the scruffy people ahead of me filling out short applications and putting their resumés inside a photocopier paper-crate, and chatting up some cute random crewing that kiosk.
Whereas I was discreetly approached by one of a few well-dressed junior managers there, led to a quiet corner of the cube farm, and interviewed on the spot. He took my resumé, put it in a small folder he was carrying, and we chatted shop for about ten minutes before he skimmed off the next recruitable prospect from the crowd of frat-boy rejects.
I was contacted for recruitment later that week, although I begged off when I found out they expected me to relocate repeatedly, and almost randomly after the six weeks of training. I had strong reason at the time to wish to remain in Halifax, or as close as could be managed.
The moral of my story is, of course, to dress appropriately anytime you set foot in the place, so you can be sure to end up in the small folder when the time comes, not the large paper-crate. It should be noted that my government site distributes those empty boxes at will for employee shredding bins. I suspect the resumés of the scruffies who couldn't be bothered to put on a lousy tie ended up at the same place.