Unless you used some dedicated SteamVR nodes, your project should work equally well on both devices. By zip-up do you mean just zipping all folders or did you use the project zip up function under File → Package? The latter is the most correct way to transfer a project between two computers. Otherwise try deleting all folders from the project you received except Content, Config, Source, Plugins and the uproject file. Then re-open the project and let everything recompile.