No. Washington law does not let landlords evict tenants without following the proper court eviction process. The landlord must give you a proper written “termination” notice before starting an eviction lawsuit. The 30-Day Notice is one type of notice.
If you are still living in the place after 30 days, the landlord may then start an eviction court case.
The landlord must win that court case and get a judge to sign an order directing the sheriff to evict you. Only the sheriff can formally evict you or change the locks on the rental.