Ios 7.1 jailbreak or downgrade?

Is there a jailbreak for iPhone 4S running ios 7.1? Is there a way to downgrade to ios 7.0.X or ios 6.X?

Maybe

I would recommend you upgrade your phone to the iPhone 5, 5s 5c if you have the money and apple will be releasing ios 8 sometime in the months to come don't risk jailbraking you could damage your phone and you won't be able to update I bought a jailbroken 3gs in 2010 and was not able to update the previous person sold me a hacked iPhone

No jailbreak for iOS 7.1. No downgrade for iPhone 4S. If you have iPhone 4, you may downgrade to iOS 6 using iFaith. Here is a tutorial http://www.syncios.com/blog/how-to-downgrade-ios-7-1-to-ios-6-1-3-using-ifaith/