Short answer is no. I'll caveat that though by saying I recently bumped up to a 32x10 (255/75R17) tire. This was necessary because I run the Yukon small hub kit, which impacts wheel offset and backspacing. It turns out the JK, JL, and JT factory wheels work out perfectly for my setup. The stock tires they come with are the 255/75R17. With a 32" tire the Jeep now has a 15" belly height and drives amazing.I actually like the look of 31s, I think they look proportionally correct on a TJ. but I'm worried they won't be enough. @Irun I see you run 31s. do you ever feel like you're extremely limited?
As a comparison, the previous LJ I built was at a 17" belly height on 35" tires. I could have gone higher, but didn't know any better at the time. Although The jeep hasn't been subjected to any serious off-roading yet, it was built for that and I'm confident, based on what I have done, that I'll be able to keep up with those on bigger tires with minimal effort.
I do want to be up front though, my build is not normal and wasn't cheap. It started with a specific goal, i.e. smaller tires, but more function, and I've stayed true to that. Also, I'm by no means an expert. There are those that are far more knowledgeable than myself. What I've learned is what I stated. Pick a tire and belly height, then build to that. If you do, you'll have a well sorted out Jeep.