Yes, but not for you. The 9.00 jailbreak (released by the infamous SpecterDev and the Mathieulh team) is the gold standard for high-firmware PS4 modding. It uses a clever USB device spoofing method combined with a kernel exploit.
If you are on 9.00 or lower, do not update past 9.00. If you are on 8.52, update to 9.00. If you are on 10.01 or 11.00, stay there and use PPPwn. ps4 8.52 jailbreak
Many users give up and sell their 8.52 console for cheap. Then, six months later, an exploit drops, and the new owner gets a bargain. Be patient. The 8.52 console is a sleeping dragon. Yes, but not for you
Running unsigned code is a major pillar of the jailbreak. On firmware 8.52, users can run various homebrew applications: If you are on 9