Jørgensen was born in Copenhagen, Denmark where she received her Bachelor (HA) degree at the Danish Business School Handels højskolen.
Graum Jørgensen worked with Danish directors Lars Von Trier and Thomas Vinterberg, and, beginning in 2002, with Susanne Brier.
The first movie they worked on was Biers' Open Hearts (Elsker dig for evigt 2002) and Jørgensen was the co producer.
After this she and Brier worked together in several movies and she produced Brothers (Brødre 2004), After the Wedding (Efter brylluppet 2006) that was nominated for an Oscar.
In 2013 she won the Erik Ballings Rejselegat Prize handed out by the Nordic Film Council[9] together with her co worker at Zentropa, Louise Vesth.