I think you'll find there were a number of J34 variants with afterburners though nothing says they didn't make their own.

Meleagertoo, I was basing my comments on the video that was posted as #14 in this thread where the commentator says@ minute 1:40 that the truck was equipped with three J34-48 (non-afterburning version) engines common to the T-2A Buckeye but had custom, or "homebuilt" afterburners fitted.

Blown tyre... Punctured tank... Reminds me something. Will there be a NTSB investigation?

A roll your own afterburner, even one limited to ground level use would be quite an achievement.
There were huge difficulties to get working burners in the early days. Putting the heaters in has a signiicant effect all he way forward through the engine. Not to say that you can't home build a copy of a later version's burners, but you will need the modified fuel control unit, as well as the nozzles, flame stabilising gutters etc. Etc.

N

Bengo, it's not like they are creating something that doesn't exist. All of the major technical engineering work has been done it now a modification of a burner to work on the current engines

There are seven versions of the J34 that have after burners, I'm sure adaption of one to the version he used wouldn't have been an overly complicated task.

Bengo

Whilst I agree that a homemade afterburner would be sporting achievement, remember that a key feature of afterburner is that it "should" have minimal effect on the core engine.