Yes but it won't be very useable. You might have to do some triming to the front bumper as well, I don't know how far down the 99s come down in relation to the 01+. You'll rub hard when you flex it, 33s would be a better bet but 35s will work.
Pull the mudflaps off the flares and I think you'll be alright. It'll be stuffed, but it'll be roadworthy. I found the 3" BL and 35's was a perfect sized truck.....just wasn't comfortable enough to wheel it.