backupicloudiosiphoneitunes
This question is generic but for my case I have an iPhone SE with iOS 10.3.1 and a MacBook Pro running Sierra 10.12.4.
Is it possible to have my iPhone backup to both iTunes and iCloud? When I connect the phone to iTunes the backup option seems to have a radio option for one or the other.
But it seems it would be preferable to have backups in two different places, a more complete larger backup on the computer and a smaller backup to iCloud that has the settings/app list/documents.
I don't have a great answer - but this is fairly serious so I'm going to start an answer and hope someone else edits or answers if they can spot something I haven't.
On the computer, the only "red flag" would be if you wiped the phone of all content and settings, named it exactly the same name as it was before (which could be iPhone) and then backed up again and overwrote the backup with the actual data. iTunes tries hard to prevent this and spawn off a date-protected backup when it detects this, but I've seen this check fail and people lose backups from time to time. The remedy here is to restore the PC from a backup that has whatever MobileSync folder is the most recent.
On iCloud - you also shouldn't be able to overwrite a "full" backup with an empty one. Also, iCloud explicitly keeps several versions of the backups going back in roughly day intervals. It also normally stores backups for different devices without collisions or overwriting another backup.
The good news on iCloud is you can always get help from Apple at http://www.apple.com/support/icloud/ and from retail stores. New devices or ones covered by Apple Care also have phone or web support in most countries. All new Apple products have a 90 day window of set up help. Hopefully one of these can step in and assist. Not only does Apple get a data point where their tools let you down (and exactly what circumstances this happened) - they also see many people in this situation and will hopefully waste a minimum of your time getting this sorted.
PS: I'm using IP 5S. ^^
Best Answer
Yes, this is possible.
The options you're referring to in iTunes relate to automatic backups. You can achieve what you want by enabling iCloud backups (either in iTunes or in your iPhone's settings) and then manually doing a backup to iTunes whenever you want.
To do a manual backup to iTunes, simply connect the iPhone as you usually do with iTunes and then in the device's Summary screen within iTunes (the one with the backup options) you'll see to the right a Back Up Now button. Just click this whenever you want to also backup to iTunes.