Yes, Special Collections do offer a digitisation service wherever possible for their rare books and archive holdings. Requests aim to be done within 1 week of order confirmation. In some circumstances the fragility of an item or legal restrictions may prevent this, however in these circumstances the Special Collections team will advise you further.
Further details, including prices and a link to the request form can be found on the following webpage Digitisation Service - University Library - Newcastle University (ncl.ac.uk)