No, a 1993 Jeep Cherokee transmission will almost certainly *not* fit a 1991 Jeep Wrangler, even if both are 5-speeds. While both Jeeps used AX-15 transmissions, there were variations and revisions throughout the years. The bellhousing (the part that bolts to the engine) and even the output shaft (connecting to the transfer case) may differ enough to prevent a direct swap. You'd likely run into incompatibility issues.
You need to verify the specific transmission model numbers for both vehicles to be absolutely sure. Even if the *numbers* seem similar, subtle differences can create fitting problems. It's highly advisable to consult a Jeep parts specialist or a mechanic experienced with these vehicles before attempting such a swap.
