I don't know if VT offers them or not, but the NCAA definitely permits it (link below).

Of course, for scholarships to walk-ons "because one is available", they're almost certain to be of the single year variety.

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Scholarships
Many athletics scholarships, like most merit-based scholarships, are granted for one academic year. However, Division I schools are allowed to provide multi-year scholarships. Allowing these schools to award scholarships for longer than a single year gives student-athletes greater assurance their education will continue even if they suffer an injury, their athletics performance does not live up to expectations or the coaching staff changes. If a school plans to reduce or not renew a student-athlete’s aid, the school must provide the student-athlete an opportunity to appeal. In most cases, coaches decide who receives a scholarship, what it will cover and whether it will be renewed.
[Post edited by nvpbrown at 05/08/2019 10:08PM]