Not counting OSS operatives (a role which could involve combat and certainly a high risk of death), generally not for the US. They tended to do stuff like secretarial work, communications, nursing and other stuff that would not put them into direct contact with the enemy. Unless the enemy showed up at the base. There were eight servicewomen killed in action.

A lot more for both Vietnams, but the records aren't great: https://en.wikipedia.org/wiki/Women_in_the_Vietnam_War

Things didn't really start changing until the 1990s, with female fighter pilots in particular.