Yes. In fact, we offer several honors programs, at both the school and the departmental level.
Both the College of Arts and Sciences and the School of Engineering and Applied Science offer school-wide honors programs. In the College, the Echols Scholars Program enrolls students who have excelled academically and exhibited unusually intellectual curiosity. Echols Scholars enjoy priority registration and exemption from all area requirements such as science, English, and foreign language; they're free to take any academic courses that interest them, and we encourage them to use this freedom to create a stimulating, often interdisciplinary academic program. The College also offers the College Science Scholars program for students dedicated to science research at Virginia. In the School of Engineering, the Rodman Scholars Program is somewhat more traditional. Rodman Scholars enjoy special seminar classes and design projects in the first year, as well as other specially designated courses throughout their undergraduate program. No special application is necessary for either the Echols or the Rodman program; everyone who applies for admission to the College or the School of Engineering is automatically considered.
Almost every department in the College also participates in the departmental "distinguished majors" programs. U.Va. students may apply to these programs, which require the preparation of a fourth-year thesis, after they have completed some work in their major subject. Admission to these programs requires the approval of the department's faculty.