Yes, it can be done. However there's major fabrication and chassis tuning to be done and a lot of money to be spent. Since you haven't purchased the 200SX yet, why not just buy a 240SX and save yourself the grief of things that can go wrong with a conversion such as you're contemplating. There are many 240SX's out there with turbos installed which would even make it a better road toy to mess with.
If you're hell bent on doing a conversion, here's a web site that can get you started:
Do-It-Yourself (D-I-Y) S13 Chassis Subframe Swap Kit - PastPower Innovations
If you're hell bent on doing a conversion, here's a web site that can get you started:
Do-It-Yourself (D-I-Y) S13 Chassis Subframe Swap Kit - PastPower Innovations