RollinKaos, how wide of rims are you looking to run? This is going to be key with whether you will be able to or not.
I have managed to run 37's with only a 4" suspension lift on a 4x4 rig. Your 4x2 (2wd) rig sits 4" lower than my rig did stock. So, you are already at a disadvantage per se. Now, you are looking at 9" of total lift (or 5" of lift when comparing to a 4x4 vehicle). This is enough lift to fit 37's. But also keep in mind that this will only work if you run a 12.5" wide tire on an 8" wide rim with 4.5" of backspacing. You change any part of that equation and you WILL!!!! have rubbing. When I twist up my truck, I tuck over an inch of rubber into the rear wheel wells (if you look around, you should be able to find some pics that I have posted on this site, if not, let me know and I will repost them here). So, even with the extra "inch" of lift over me, you are still going to tuck the tires into the wheel wells.
Now, also keep in mind that I had to do a few other modifications to the front of the truck to make it all work. The easy one was grinding the jack nub off of the lower A-arm. In your case, you probably won't have to worry about this, but it is possible that you will have something else that will give you a little bit of grief. The second thing that I had to do was to take an angle grinder to my bumper and reshape the bumper edge facing the tire to give me the necessary clearance. In short, I had to shave an inch off of the bottom corner and then tape this down to nothing at the top of the bumper. I kinda like how the cut came out as it seem to more closely match what the curve of the wheel well should have been as it pertains to the bumper. The final mod is what makes most people shudder. How do you feel about taking a 3 pound hammer to the body of the truck? In short, you have to pull the wheel well liner off of the truck and then using the hammer, bend the weld seam over from where the firewall meets the body of the truck. Then you have to drill a hole through the wheel well liner and the fold that you just made to tie the wheel well liner out of the way.
The good news is nothing needs to be done with the rear of the truck as long as you follow what I have said about tire width and rim dimensions.
If you have more questions, just ask. Anything is possible if you are willing to push some limits and test what you can do.