10.7 Preview app on 10.13
If you've tried copying it over and it doesn't work, then realistically there's little you can do.
Applications are (crudely) just a series of instructions to the OS. The available instructions change from one OS to the next.  If the app is sending instructions that are no longer valid, then it just won't run.
Your best option is to identify what features you want from Preview in 10.7 that are not in Preview from 10.13, and find a third-party app that provides them.