The Etymology of Star Trek: Engage

Silliness that comes to mind when your infant decides to be awake at 5 in the morning and you just can't make the tea strong enough. I've not (yet) played rugby myself, though I expect our eldest to encounter it in school in the next few years. Listening to the referee tell the lads to engage, all I could think of was Captain Picard from Star Trek: The Next Generation. Sad, I know.

But then the question came to mind: was this where Gene Roddenberry got the use of the word for the show? The standard play of a rugby match?