Can i jailbreak iPhone 4s v. 6.1.3?

I was thinking if I could jailbreak my iPhone 4s? I can't update it to iOS 7, i don't know why but my phone says that 6.1.3 is the current version on my phone and i can't update.

1. No you can't jailbreak iOS 6.1.3 on a 4S
2. You can't update to iOS 7 cause its not out yet. Expected at 10am PT (now 6:14am PT)

Ios 7 is hours away from realising and it supports iphone 4 and 4s as well so wait for ios 7 first

Wait some hours more. After that check the safe and easy jailbreak guide:

http://iphonejailbreak-unlock.com/apple-ios-6-1-3-or-6-1-4-jailbreak-for-iphone-54s43gs-itools