You will need to use a 1600cc Tracker/Sidekick transmission in order to do so. However, it does allow one to keep the larger and heavier 1600cc flywheel, which results in better low end torque.
Please be aware there is quite a bit more work involved, such as cutting a new shifter hole, shortening the intermediate shaft, fabbing up a new rear crossmember mount, etc. You can use a 4WD or 2WD tranny, but the 4WD tranny will need the married transfer case removed, and an output seal adapter installed. If you use a 4-speed auto, you will also need to wire in the tranny computer. In contrast, if you use the 1600cc adapter kit with the manual Samurai transmission, it is a bolt together affair.
FYI, another option existed around 10 years ago when two different fabricators sold a machined kit that allowed the 1600cc trans, transfer, and Samurai transfer to be used as one unit. It was called the Kicker 3, as well as other names.
Basically, the front output of the Sidekick/Tracker transfer case was cutoff, the corresponding internals removed, and the remaining hole covered and welded shut. This allowed the Sidekick transfer to be used a simply a 1:1/1:1.8 aka a doubler. Combine that with a Samurai 4.1:1 case, and one had a 7.38:1 low range. However, there was sometimes an issue with the slight misalignment of the two transfer cases, hardness reliability issues with the coupler (a cut down driveshaft splined section), and it seemed like a real pain in the neck to service/repair.
Since that time, low cost 6.5:1 t-case gears have hit the market, which are easy to install and seem to be quite reliable. Hence, the Kicker 3 has largely been forgotten.