If I apply to university of Washington honors but I don’t get in, can I still go to university of Washington but just the non honors part of the university?
Yes.
“UW Admissions and Honors Program admissions are two separate processes. We cannot admit students to the Honors Program until they have been admitted to the UW, so you will not hear from us until after you have heard from the UW.”
https://honors.uw.edu/apply/freshman/faq/
You can also apply for Second Year Admission to Interdisciplinary Honors and/or seek Departmental Honors.
https://honors.uw.edu/apply/second-year/
https://honors.uw.edu/reqs/#departmental
Good luck!