There's not a native option for that directly, but you could do that with two Custom Fields, one for the beginning of the range, and a second for the end. There's no way for this to show on the calendar, though, but you'll be able to see these two dates within the card.
Hello Community! My name is Brittany Joiner and I am a Trello enthusiast and Atlassian Community Leader. I'll be sharing with you a series of videos with my top tips on how to best use Trello...
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