First let me clarify that I am in no way affiliated with law enforcement, however, installing 'spy' software onto a cellular device is a federal offense and can lock a person up in jail for up to several decades. The chances of a random person wanting to tamper with your phone in this way takes SIGNIFICANT technical skills and very improbable unless you have some highly classified information listed on your phone which would serve a great purpose to some very high profile people. The FBI and other law enforcement do not install third party software in order to beep into your calls and interrupt you while you speak and randomly power your phone on and off; they tap your phone in order to listen in on your calls without your knowledge. If you are, however, worried that something fishy is going on, you can always do a complete factory restore on your phone which would allow everything on your phone to be removed and restored to factory settings.
I hope this answers your question! =D
Short answer is no.
Long answer is maybe, if all the circumstances were ideal. You're connected to the persons network. The person is a HIGHLY trained expert who works for some type of national government. You must be some type of government official or high profile entity. If not, I would say no.
Glad I could help.