As of May 2018, they have released the jailbreak for any PS4 running firmware 5.05 or 5.07 and below. If your firmware is higher than this then the answer is no. You still can jailbreak your firmware on your PS4. Currently, there is no public firmware jailbreak for 5.50 firmware. If you are running any firmware on your PS4 that is 4.55 it is recommended that you don't update your firmware.