JDM downpipes are shorter. but if you use the rest of the JDM pipeing it will work fine.
you can also use the full USDM exhaust on your 93 and it will work just fine. it is missing one hanger on you car, the is on the newer cars. but this will not be a problem.
i have done this a few times with 02-05 exhause on 93-94 cars with JDM engine swaps.