A body 4 speed in a truck. Can this be done?

It will go bolt in like it was born there, assuming '72-'93 2WD D-series. The D100/D150s came with A833s from 1976-'87. The trans mount will align and nothing changed in the bell pattern. You'll need the OD bellhousing since the overdrive has a 5.125" front bearing retainer. All other LA bells used a 4.354" retainer; the retainers don't swap between OD and non-OD small-block transmissions.
If you're going behind a big-block, you can swap the 4.805" bearing retainer onto the OD trans, as long as it has the 4.16" bolt pattern.
The clutch linkage might be a trick; I'd check the parts books or contact Brewer's. I'm not 100% sure the A/F-body linkage would clear the truck's trans crossmember.
You'll also find that the driveshaft needs to be about 4" longer and the shifter will be a little further to the rear than original, I'm guessing by about 3". The OD truck used a mounting plate that moved the shifter a couple of inches back (and up) from the forward B-body position, but not far enough back to equal the A/F-body shifter location.

Long story short, though, there are thousands of direct-fit A833OD truck transmissions out there that would involve a lot less screwing around to install. If it's got a cast iron long tailshaft and an aluminum main case, it's a truck OD.