There is no way to do this via the REST API, but the following query on the database should give you this information:
SELECT p.name, pa.DATE from project p, AO_BD73C3_PROJECT_AUDIT pa WHERE p.id = pa.PROJECT_ID AND pa.ACTION='ProjectCreatedEvent'
Premier Support Engineer
Hey Community! We’re willing to wager that quite a few of you not only use Bitbucket, but administer it too. Our team is excited to share that we’ll be releasing improvements throughout this month of...
Connect with like-minded Atlassian users at free events near you!Find an event
Connect with like-minded Atlassian users at free events near you!
Unfortunately there are no Community Events near you at the moment.Host an event
You're one step closer to meeting fellow Atlassian users at your local event. Learn more about Community Events