If you have the same library setup on both computers, and you are variables to point to library locations, then you can have the same sym-lib-table and fp-lib-table files. Also the schematics libraries have to be equal.
If you use project sym-lib-table and fp-lib-table files they also have to use variable for pointing to library locations, and as in this case you might have project libraries, point to them via KIPRJMOD variable.
Once this requirements are fuilfiled you can transfer the project simply by copying all project files (-cache.lib, .pro .sch .kicad-pcb).