Discount tire is normally good to try one tire on a rim and bolt it on the front and checking for clearance before the other three. They did this when I went to 31's on my stock height Ford Ranger a few years ago without hesitation.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.
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.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.
That is one of the challenges I have run into with tire stores. They sometimes make broad assumptions.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.
yeah thats stock for the second gen, but far from stock for the first gen. factory wheel offset for a first ten is also +41 mm. running a 32" on a factory wheel won't work either because it rubs the frame.Might that be because of your rims or that you are a Gen1. I had been running 265/75r16's for a weeks before I lifted it, on stock rims and it never rubbed a bit. That is actually the stock tire for certain frontiers (pro-4x and desert runner)