Amazon Connect Queues

There is no out of the box way to programmatically schedule a callback. But there are two other options:

1. https://github.com/aws-samples/amazon-connect-callback-helper follow this to do a schedule callback. It uses a schedule outbound call with information to request a callback at a specified time

2. Without using a schedule outbound call to, you can create various branch to execute the transfer to queue with callback with a different initial delay in the parameter. Although the initial delay cannot be dynamic, you can have multiple xfer to q with 1 hr, 2 hr.... 10 hr initial delay separately, and figure out what is the current time (using a Lambda function) and use Check Contact Attribute to branch to different initial delay.

When Initial Delay is use, the contact is put into a "scheduled" state and even with agent available, they will not be reached until the delay is finished and move into the queue.

https://docs.aws.amazon.com/connect/latest/adminguide/transfer-to-queue.html#transfer-to-queue-properties