You can, and assuming you are calling it from SmartEdit via something custom.
You have to initialize the sessions prior to the post
Call this via AJAX or in a hidden iframe
/CMS/ioRD.asp?Action=ComparePageStatus&TranslationMode=0&PreviewType=3&PageGuid=<%inf_pageguid%>
However, I think development fixed the session issue in SmartEdit in 10.2 SP2 hot fix 1x. Oh, this is untested in version 11.
Alternatively, why not just write a custom plugin that does what the dialog does and more? Please find attached something I wrote 3 years ago for editing sitemap name from the same dialog.