Hey good sir. First and foremost: No. There is no way to jailbreak a phone remotely. Unfortunately the huge misconception is that spyware can only go onto a jailbroken phone. Spyware can be installed on a iPhone with nothing more then a phone call to the device. Will it be really powerful? Probably not. As Mac users have been forced to believe is that our apple devices are the most secure around. We have been mislead and/or lying to ourselves. What is tr true is that Mac devices are secure from viruses not remote hackers or spyware.
The world record for a computer to get hacked (with full administrative rights) is five seconds. This happened just last year and was done with nothing more then an ordinary RF remote controller.
The only reason I have learned so much is because I am a victim of spyware, remote access and cyber stalking. I have been hacked for more then two years. I did not notice untill last summer. Now the level in which I have been breached can only be done with hands on device at some point in time. Needless to say I am now getting a divorce and hopefully justice will be served legally against violators.
I am not saying live with constant fear. Someone truly has to hate you to go to the measures that have been executed on me. If you have any questions on pursuing legal action. I have advice of many options. I can tell you wether or not it is on your phone. Unfotunately I am just as lost on how to actually rid of it.