Yes, it's possible, but stating that by itself is probably not very helpful.

For a practical demonstration how to do it, look at the code here: https://github.com/BartMassey/rolling-crc

...which is based on a forum discussion, archived here: https://web.archive.org/web/20161001160801/http://encode.ru/threads/1698-Fast-CRC-table-construction-and-rolling-CRC-hash-calculation