Yes, it would be possible to expel the mucus plug in the 36th week of pregnancy. The mucus plug is a secretion located in the cervix that serves to prevent the passage of microorganisms from the vagina to the uterus during pregnancy.
The expulsion of the mucus plug occurs when the time of delivery approaches, but it does not mean that delivery is imminent. When the mucus plug is expelled, it can be seen in the underwear as a mucus-like discharge that may have a trickle of blood in it.