There might be a way to do this if you use the "Calendar" Power-Up.
With that power up, you should be able to 'subscribe' to the calendar feed in your favorite calendar app and there will probably be a setting to "alert at time of event".
Alternatively, you could use a third-party app called ButlerBot to post a message on the card like "@Leigh this card is due" the moment that the card is due.
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