Automatic date restriction

If someone completes a date in a calendar field is it possible to add that date automatically to the list in the "Limit Dates" section of the settings?

It is not possible to add a date to the "Limit Dates" list based on a submission. If you want to disable a date once a user has already reserved it, you can use the Date Reservation Widget instead of the date field. This widget will automatically disable the date if they have previously been selected by another user before.

Here's a demo form so you can see it in action: https://form.jotform.com/61475511548963 
Regards.