Stax bill's primary functionality is around the recurring billing of customers. Ideally, if the process doesn't involve billing (invoicing and collecting payment) the customer, it isn't placed into Stax bill. The best scenario would be when a customer's trial ends, their information and subscription are added and activated on the Fusebill platform.
That said, one of the closest features to this functionality is to set a subscription to schedule activation when it is created. This allows you to set a custom time before billing begins.