No you can not. But you can adjust your JQL filter for your backlog to include some kind of a condition to handle due date. You can also configure a filter subscription: https://confluence.atlassian.com/display/JIRA/Receiving+Search+Results+via+Email which will email you a list of issues with a due date within the next N amount of time. That way you can reference this to add issues to upcoming sprints.
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