No, a transmission from a 1990 Chevy 4x4 will almost certainly
not fit a 1982 Chevy 4x4 without significant modifications (and likely, it's not worth the effort). Even if they are both 4x4s, Chevrolet made significant changes to their truck platforms and drivetrains over those eight years. The bellhousing bolt pattern (how the transmission connects to the engine), the input shaft diameter and length, the output shaft, and the overall physical dimensions are likely all different. You'd be looking at potentially needing a new bellhousing, adapter plates, modified driveshafts, and potentially even modifications to the transmission itself – a very complex and costly undertaking.
To find a suitable replacement transmission for your 1982 Chevy 4x4, you need to find one specifically for that year and model. Checking parts catalogs or a salvage yard specializing in older trucks will be your best bet.