It is unlikely that QuarkXpress has the option to export its own documents (*.qxd) as JPEG images. But you could for example export the document as PDF and then convert that as JPG with the use of some PDF to JPG converter: Each page would then be saved as a single image.
Convert QuarkXPress document file to JPEG bitmap image format.
We found 2 software records in the database related to .qxd to .jpg file format conversion.
Microsoft Windows software - convert qxd to jpg on Windows
Professional desktop document publishing software from Adobe
Convert from qxd file format
The tables with software actions are a good pointer for what a certain program does with various file types and often may give users a good hint how to perform certain file conversion, for example the above-mentioned qxd to jpg. However, it is not perfect and sometimes can show results which are not really usable because of how certain programs work with files and the possible conversion is thus actually not possible at all.
Apple macOS / Mac OS X software - convert qxd to jpg on OS X
Mac version od Adobe's popular document designing and publishing software