This is something that's been asked for, for as long as I can remember, and it's still something that Trello doesn't have.
The only way around this, which isn't really a work around, but it can work, is to use the Calendar Power Up as well as Cronofy to change the start and end dates of the event within Google Calendar which can sometimes reflect on the card in Trello. However the end/due date remains unchanged.
The other way around this, is to use Custom Fields to input a start date, but that doesn't help being able to see it in a calendar, whether that's Trello's Calendar Power Up or Cronofy on Google Calendar.
It's something that's been asked about for years, but it's still not something that Trello has natively.
If you had to thrive a new habit during a lockdown, what would it be? Trello
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