Here's why:
* Bolt Pattern Mismatch: The T56's input shaft and bellhousing bolt pattern are unlikely to match the 350's. You'll need an adapter plate.
* Transfer Case Interface: The T56 is a manual transmission designed for a standard 2WD drivetrain. Integrating it with the K5's 4x4 transfer case will require a custom adapter or a completely new driveshaft setup. This is a major undertaking.
* Clutch Linkage/Hydraulics: The T56 uses a different clutch setup than the typical setup in a K5. You'll need to adapt the clutch linkage or hydraulic system.
* Crossmember: The transmission's mounting points and overall dimensions will likely not align with the existing K5 crossmember. You'll need a custom crossmember.
* Driveshaft Length: The driveshaft length will almost certainly be incorrect and need to be custom made.
* Shifter Location: Finding a suitable location for the T56 shifter within the K5's cabin will likely require modifications to the floorpan.
In short, while it *is* possible, it's a substantial project requiring significant mechanical expertise, fabrication skills, and custom parts. It's not something a novice mechanic should attempt. You'll likely need to consult with a transmission specialist experienced with swaps, or find a shop specializing in custom drivetrain installations.