Yep. Cytotoxic T-Cells can wipe out a viral infection, especially with the help of interferons, before the B-Cells can develop an effective antibody response.

Yep. Cytotoxic T-Cells can wipe out a viral infection, especially with the help of interferons, before the B-Cells can develop an effective antibody response. Keep in mind that viruses are incredibly tiny and have small antigenic surface areas compared to bacteria. It also means you are likely to get infected again.