Can glandular fever cause night sweats?

Yes indeed: Any illness that causes fever or other body-wide inflammation can cause night sweats, including glandular fever (same thing as infectious mononucleosis or "mono", the usual terms used in the US). If you've been diagnosed with GF/mono and are having night sweats, that's probably the cause. But if in doubt or for additional reassurance, contact your doctor.

Glandular fever: Glandular fever is a viral infection caused by the Epstein-Barr virus. This virus can be passed from person to person by close contact (especially kissing). It can possibly also be caught by sharing cups, toothbrushes, etc.It can cause night sweats and fever. http://patient.info/health/glandular-fever-infectious-mononucleosis-leaflet