No. Cervicitis is an inflammation of the cervix, whose symptoms may include bleeding outside the menstrual period, pain during sexual intercourse and abnormal and/or abundant secretions. Asymptomatic cervicitis may also occur.
Cervicitis itself is not contagious, as it can have several non-infectious causes: an allergic reaction (vaginal hygiene products, latex...), vaginosis (presence of excessive bacteria in the vaginal flower).
However, in most cases, cervicitis is a response to a sexually transmitted infection, such as chlamydia, gonorrhea, vaginal herpes or trichomoniasis. In these cases, it is not the cervicitis that will be spread, but the infection causing the inflammation. With a treatment of the inflammation, the cervicitis can be successfully eliminated.