Yes, but you'll need to find/make new brackets since you're pre-1985.
Look here in the site's documentation:
https://www.garysgaragemahal.com/radiator-support.html(Tab "85+ Radiator in Earlier Support")
I did this to my '84 as part of deer damage repair:
https://forum.garysgaragemahal.com/Deer-killed-my-Bullnose-Mangled-the-front-tp103398p104572.htmlI've had all sorts of fun finding a radiator that doesn't leak... been through one Liland Global (Rockauto) and two Champions (all are full-aluminum welded)... currently I have an eBay one (also welded aluminum) and so far (a few weeks) it's been fine (other than the provided radiator cap being way too high pressure- but I supplied my own instead).
If it's like my 4.9 you'll also need a new upper radiator hose as the inlet size is bigger on the later model radiator (3", same as the unchanged outlet size). My understanding is that other than being mirrored, the V8 and 4.9 radiators were/are identical.
Not sure if fan shrouds transfer... since I had to replace mine. I used a fiber-reinforced plastic one off a 1990 F150; the stock 1984 fan fit no problem. Then again, I'm on a 4.9, so if you're still using a stock clutch fan, be prepared.
1984 F150: 300 L6, AOD, RWD. EEC IV / TFI, Feedback Carter YFA Carb. Stock everything but radio (for now).