I have read through on Stripe API documentation to find this functionality, but unfortunately, Stripe API doesn’t offer anything close to it.
You can use following “workaround”:
1. Create “$1 trial” one-off product and let your customers pay for it.
2. After “trial” time is over, offer them to subscribe to your regular subscription.
This could be achieved via some marketing platform like MailChimp. E.g. when your customer pays for “$1 trial” product, you can add them to a sequence which would automatically follow up after set period.
I have created a ticket in our inner system with this feature request though. We will discuss with the team to see if some functionality to handle this situation could be implemented.