Is it possible to jailbreak iphone 5c?

7.04

No device on iOS 7 can be jailbroken. Cydia doesn't work, plus there are no reliable exploits to make jailbreak possible on iOS 7.

There are no jailbreaks for iOS 7 at all. Therefore, no device with iOS 7 can be jailbroken.

If i were you I wouldn't jailbreak it. Once you jailbreak it, you can update it, & any warrantees may be repealed.