 Bancic was married to the writer and fellow FTP-MOI fighter Alexandru Jar.Bancic was born to a Jewish family in Chișinău, Bessarabia, which was part of the Russian Empire at the time, becoming part of the Romanian Kingdom after World War I.She worked in a mattress factory by the age of 12, and joined the labor movement, taking part in a strike during which she was arrested and allegedly beaten.