At your service...
The answer is "Yes, it depends, but...".
I just took these two photos for you. In the first one, I'm holding the MORryde Rotopax Carrier plus a 2-gallon Rotopax up to the hinges on my LJ. I didn't take my antenna mount off for the photo, but that doesn't matter for the purposes of this illustration. I have a 32" spare, and you can see how much extra space there is between the spare and the Rotopax bracket (it's hard to tell in the photo, but it's slightly more than 2" and if you do the math, that 2+" should be enough to fit a 35"). Also you can see that the Rotopax container will clear the tail light. You can also see that there's a bit more clearance to the tail light than strictly necessary.
View attachment 399541
I am holding the bracket in line with this hole in the hinge:
View attachment 399542
Here's the "but":
I'm using the factory spare carrier but many years ago I modified it to mount about 1" closer to the driver's side of the Jeep than stock, so on my Jeep, the clearance seen in the first photo above is 1" more than it would be with a 32" spare and the stock carrier. So there may not be enough room to fit a 35 and the Rotopax mount with an unmodified factory spare carrier.
And here's the "it depends": Depending on the actual size of your 35, you may have enough clearance between the spare and the Rotopax bracket to make it work, but if your 35 is on the large size you may need to modify your spare carrier to move it to the left.
You may get away with no mods, you may have to modify your spare carrier to move it a bit left, or perhaps you could get away with just drilling new holes in the Rotopax bracket to move it a bit to the right, using up some of that extra clearance to the tail light.
That's the best answer I can provide since I don't have 35's.
My spare carrier has been 1" to the left for many years, with the extra space I've mounted lots of things on the hinges with no problems, including jerry cans.
BTW I posted a the details of the DIY jerry can carrier here:
https://wranglertjforum.com/threads/diy-exogate-jerry-can-carrier.35074/post-574412