No you can not.
The engine you are wanting to use is not computer controlled, therefore the transmission will not shift up are down like it is made to do.
The 4L80E transmission
3.90
Probably a turbo 350.
That would be the 4L60E transmission.
If it is an automatic transmission then it will be the 350 turbo that was put in it from the factory.
1986
Show you the automatic transmission, passing gear linkage for a 79 Chevy 350 eng. truck
If it doesn't have Turbo, it is a 700 R transmission.NEW ANSWER: That truck has a 4L60E transmission in it.
Is there a manual to rebuild a 350 turbo transmission on a 1977 Chevy Truck on line that I can order or down load for free I think if you got to Chevy truck parts .com you can find one
This will not bolt in without major modification
th 400 th 350 if it has over drive 700r4
A Gm 700R