Actors would never agree to this. People don't like to be reminded of how they've aged, much less actors that live in a business based on appearances.
Yeah. That kind of thing would never happen in Star Trek or any of it's actors.
McCoy: Get back your command. Get it back before you become a part of this collection. Before you really do grow old.
Kirk: My life that could have been, ...and wasn't. And what am I feeling? ...Old. ...Worn out.
Spock: Is it possible ...that we two, you and I, have grown so old and so inflexible ...that we have outlived our usefulness? ...Would that constitute a joke?
McCoy: What about my age?
Data: Sorry, sir. If that subject troubles you
McCoy: Troubles me? What's so damned troubling about not having died? How old do you think I am anyway?
Data: 137 years sir, according to Starfleet records.
Kirk: My life that could have been, ...and wasn't. And what am I feeling? ...Old. ...Worn out.
Spock: Is it possible ...that we two, you and I, have grown so old and so inflexible ...that we have outlived our usefulness? ...Would that constitute a joke?
McCoy: What about my age?
Data: Sorry, sir. If that subject troubles you
McCoy: Troubles me? What's so damned troubling about not having died? How old do you think I am anyway?
Data: 137 years sir, according to Starfleet records.
Or, you know. The episode "All Good Things" where the actors are not only reminded of their age, but try to act around it.