There isn’t such a feature. Even if there was, it could only work for a new, unedited recording. For imported tracks there is no way to determine when the recording was made, and even for a new recording it would only work until you make the first edit.
The closest to what you are requesting is this plug-in that adds labels: https://forum.audacityteam.org/t/labels-to-show-time-that-a-recording-was-made/47327/1