Does a 2002 jeep liberty have limited slip differential?

No, the 2002 Jeep Liberty did not come standard with a limited-slip differential (LSD). While some options and higher trim levels *might* have offered it as an upgrade or part of a specific package, it wasn't a standard feature across the board. To know for sure if a specific 2002 Jeep Liberty has an LSD, you'd need to check the vehicle's documentation (owner's manual or build sheet) or inspect the differential itself.