Absolutely not. I think thats why theres a major price difference. I originally started with a 8gb and then it broked and I upgraded to a 32gb. You won't regret it.
EDIT: when I first had the 8gb I had a case that fit perfectly and it fit perfectly with the 32gb, just to prove its the same size.
Since he already stated he has an 8GB Touch and wants to know about the size of the 32BG, I ASSUMED he knows the capacity increased from 8 to 32. He was asking about the external size of the Touch. And since the dimensions are clearly listed on the Apple site, again I ASSUMED anyone interested in a Touch would go there first before asking stupid questions here. I was wrong. 🙄