I looked this episode (Tomorrow is Yesterday) up for context as I was wondering why he was looking at her that way (he's from 1969 and apparently is just surprised to see a woman on board a spacecraft) and learned that the episode was released in 1967 and correctly predicted the year, day of the week, and number of astronauts involved in the moon landing launch. Impressive!
No, it wasn't known in 1967 that the moon landing would be launching on a Wednesday in 1969 (although since this aired in January, it actually would have been written in 1966).