Is there any way i can back up my iphone without it being on?

I just got my 5c in December and it just recently stopped charging. I took it to apple and they are sending me a new one tomorrow. I have so many valuable pictures and contacts I would back up if my phone was on, but it won't even charge for me to do that. Is there anyway I can back up my phone with out it being on or plugged in… Any sites?

Nope. Has to have power. Try a different USB cord, or different plug but it will have to have some energy in order to transfer and sync with iTunes. Don't wait until this happens again to backup your data. Enjoy the next one. Best luck.
http://ipod.about.com/od/iphoneipodbattery/tp/Iphone-Wont-Charge.htm

http://support.apple.com/.../kb/ts3281

http://www.techhive.com/article/1166467/a_simple_fix_for_when_your_iphone_wont_charge.html

You expect to access a backup site with a dead phone? You don't understand how this works.