Washington does have secondary admission to specific engineering majors.
Placement data | UW College of Engineering indicates that aero/astro, bio, and mechanical typically admitted fewer students than had chosen those majors as their first choice. Others appeared to have at least as many admits as first choice requests, although it is not obvious whether all first choices got in, or some first choices were denied while second/third/etc. choices with better applications (grades, resume, and essay) were admitted over them.