[ctrcic]

When I went to Discount Tire to get my 31x10.5s the guy wasn't convinced that 32x11.50 would fit on stock rims without rubbing and I didn't have the time to trim anything back then. I plan on doing 32s after I get a 3" lift and some differently backspaced wheels (I want -3.75). There is a thread somewhere on here of a guy fitting 33x10.5s after a torsion bar crank on stock wheels. The width is really what will cause the rubbing more than the height if you're on stock wheels.

 

[ctrcic]

You did not say how wide. A 32 inch tire can come in multiple widths.

The stock Tires, either 265x70r16 or 265x75r16, when converted to inches are 10.43 inches wide, and either 30.6 or 31.65 inches tall. Both fit a stock suspension with ample room.

Going to a wider tire, at a 32" height, may require a lift or wheel well modification.
The other challenge to a wider tire is that you may be pushing the standard rim width, exposing yourself to a greater likelihood of debeading, in certain (i.e. airdown) situations.

On the topic of standard rim width and tire width. The maximum size you can run on the stock wheels (which at least on my 04 have a width of 7") is an 11.5" wide tire, or effectively 5" larger than the rim width. This is what Discount Tire told me at least. So for example a 10" wide wheel could run a 15" wide tire.

Moral of the story - you can run 32x11.5s on the stock wheels but you may run into clearance issues. I have seen plenty of people run them with a lift (body or suspension). But if you're on stock rims I wouldn't push wider than 10.5 though you may be able to push taller up to 33" if you don't mind potential scrubbing at full flex.