Can you restore an iPhone backup from a different computer?

I backed up my phone to my desktop and now my (c. Drive is completely full that i can't restore my phone. I'm having a hard time clearing it to get space, it usually works as I've cleared space and still been able to restore my phone. But this time is extremely challenging. So would it be possible to plug in my USB to a different laptop and still be able to restore my phone?

Yes, as long as you have itunes installed on the other computer

  • Will my ios downgrade if i restore backup via a computer with an iphone? The last backup i did for my iphone was about a week ago just before ios7 came out via a computer. If i download ios7 now and then do a restore via a computer will my iphone go back to ios6 since that is the ios that was on the phone when i backed it up?
  • When you restore an iphone from itunes backup does it restore messages? I need to restore my iPhone 4S in iTunes, will I lose my messages or will it leave the messages from my most recent back up?
  • What happens if you restore from backup after jailbreak on an IPhone 5? I just jail broke my iPhone 5 and I rememeber that after I updated to iOS 7 I restored from my backup to redownload all my apps so what happens if I do that after I jailbreak? Will the jailbreak come out?
  • Restore iPhone backup from different computer? I should be getting the iPhone 5 today at work. My current iPhone is on Mac and at work we used windows. We do not have Wi-Fi at work but I would like to restore and start to use the iPhone 5. What I was thinking of doing is backing my iPhone in iTunes and putting on a portable drive and restore it on an windows based iTunes. Will this work? I don't want to convert the iPhone to windows. I'm really just trying to figure a way to start using the new iPhone.