Good news! You can switch projects now via the browser extension so you can have multiple projects under the same URL. So yes, you can create different projects for your staging and production environment
You can also move tasks between projects and retain the details of the task you move.
Details of the task, like the severity, comments, tags, attachments and technical information are moved with the task. If the assignee is also a member of the second project, the task will remain assigned to them, too.