Can I backup a different iPhone to a external hard drive?

My mate has smashed her screen on her iPhone and needs to back everything up so that when she claims for a new one she can recover all her files. I have my iphone backed up to my mac but I want to know if I can back her iPhone onto an external hard drive so I don't clog my mac up with her stuff. Plus she can put it all on her PC once she gets it. Hope you can help.

Why can't she back up on the PC now?

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