Is await only being used for promise? improving e2e test -

I am working on e2e tests for a project nowadays and I want to use its best features. This is my question. Should I use await in the places using a promise? What if my expect doesn't resolve any promise, and it's just getting object or etc. Should I use it again?

And If you give me any recommandation about how to improve e2e test, it would be really great! Is there any feature like async await? Thanks!