Your current transmission will bolt up to the H22A, but you will "fall out" of VTEC during drag racing. It will also hurt your E.T's due to its longer gears. Your best bet is to spend the extra money and purchase the full swap. Your wiring harness will work but you will need to add two wires. Your chassis is 92-93 as when I installed your cai I noticed it was pre-wired for VTEC. The swap is a snap and only takes a few hours. If you have any other questions, let me know.
-Mike