This could in theory be done via script monitors in SAM and textual configurations stored locally on the Orion server as TXT files. I can't say I've seen anyone do this specifically, but it's certainly possible to do. You would not however be able to accomplish this using SAM's HTTP/HTTPS User Experience Monitors.
Out of curiosity, what are the devices you are attempting to backup configuration of? Perhaps this might be a good feature request for NCM?