https://www.stsci.edu/jwst/science-execution/observing-sched...
https://www.stsci.edu/jwst/science-execution/approved-progra...
It really does happen.
Things like a Sagan 'pale blue dot' image would be a longer shot, but astronomers are humans, too -- if there's a very cool and human idea out there, the committees might be receptive there. (i.e., catching the glint of light off a Mars Observer solar panel or some such thing).
So we're off by "just" a factor of 10,000,000 on resolution :-(
It's too bad, that would be so cool.
[1] https://www.space.com/17651-pioneer-10.html#:~:text=This%20s.... [2] https://theskylive.com/how-far-is-pioneer10#:~:text=The%20di.... [3] https://www.spaceanswers.com/astronomy/ten-reasons-why-nasas...
Incidentally, there was a lot more to that imaging campaign -- Voyager captured a "Family Portrait" of our solar system as its last imaging hurrah: https://en.wikipedia.org/wiki/Family_Portrait_(Voyager)
But in seriousness, if the observation schedule is going to be listed publicly, I'd imagine it would be on the Space Telescope Science Institute's website as they are in charge of the telescope's usage.