Attempting such a swap would require:
* Massive fabrication: You'd need to custom-build new mounts for the body, engine, transmission, and suspension.
* Extensive modifications to the S10 frame: It would likely need to be cut, lengthened, or shortened to even remotely fit the 1938 Chevy body.
* Custom driveshafts and steering linkages: These would need to be completely custom-made.
* Electrical system integration: The electrical systems are vastly different and would need extensive work.
* Brake system modifications: The braking systems are incompatible.
While some people undertake ambitious frame swaps, this particular one is far beyond a typical project. The cost and skill level required would likely exceed the value of the resulting vehicle. It's simply not a practical or cost-effective approach. A more feasible approach would be to find a suitable replacement frame specifically designed for a 1938 Chevy, or a chassis from a similar era vehicle.