Can i update my iphone 4 to IOS 7 without a computer?

I have an iphone 4 on sprint. It has the software ios 6.1.3 currently and i wante to update to ios 7 BUT my computer needs a new battery so i can't use it right now. I really don't want to wait; i know you can START the update from your phone but can you finish completely without a computer?

Use Wi-Fi environment.

You can do it over-the-air (OTA), just simply go into Settings > General > Software Update an follow the on-screen instructions. Do it with Wi-Fi, it cost data.