Can an iPhone be manipulated remotely?

Anyone have an iPhone that has been hacked remotely? They have access to everything and no matter what I do, change passwords, (which they will then change again and lock me out) reset phone, scribble over chat help, you name it, I could go on and on…they sabotage any hope of getting my sanity back. Literally taunt me by changing my web searches to what they want me to see, make files in my email, give me on and off access to my apps (depending on if I **** them off or not). I’ve been to my carrier, Apple Store, Geeksquad…They all think I’ve lost my mind. I’ve even given them proof! I’m at a loss. I fear if I get a new phone, this nightmare will follow me. All these “experts” keep telling me that hackers in no way can hack an IPhone!! Are you KIDDING ME??? PLEASE tell me I’m not the only one and tell me you found a solution!

[Re-Titled by Moderator]