As you know, Apple has rolled out the developer version of iOS 11 operating system for all iOS users who have developer account. You can test out the new iOS 11 on your apple device using a developer account but I would not recommend installing the iOS 11 on your primary device as it is prone to many bugs and glitches and you can lose your data or battery life of you phone.
It has not been one week since the latest iOS 11 beta was released and jailbreaks are already being developed by various developers. There are two methods right now to jailbreak iOS 11 devices, both are explained below.