On the Professional and Plus plans, it's possible to edit the published date and time of your show's episodes.

Go to the Episodes tab of your show dashboard, and click the Edit button to the right of the episode that you want to update:

On the next screen, scroll down to the "Publication date and time" section and click on the calendar icon:

You can now enter the exact date and time you'd like your episode to show as published.

You may notice it's possible to set the publish date and time of episodes in the past. If you do this, be aware that it can change your episode order as in the screenshot above.

Episode 2 was published after episode 1. However, the publish date for episode 2 was set in the past, so it shows up first (lowest) in the episode list.