Maybe John will chime in. I don't know of any way (other than a backup of your phone as others have suggested) to do directly what you want. Personally, I'd back the iPhone up to my Mac via iTunes as I think that's a more complete backup than iCloud's and it is MUCH faster to restore.
But of course you can also email the flight results to yourself (share button on each flight summary page) and get the full-flight graph, the .xls spreadsheet with the data and the flight summary in your email wherever you send it. And there is the "email flight log" from the settings screen. This is NOT all the data but it is a great summary, also in .xls format, that includes the key data points from each flight.
But after saving the data that way I don't know how you'd get it back into where the A3 app sees it.