How to activate TheTruthSpy features without touching the target phone?

You can do this via website http://my.thetruthspy.com or use SMS commands.

On website, login to your account > open page Cell info > adjust TheTruthSpy parameters like you want > Save. The new settings will be applied to TheTruthSpy on target phone in the next sync.

With SMS commands: you need to set a monitor number first, then use this monitor number to send SMS commands to target phone number. Based on your need, you can choose suitable command in List of SMS remote control commands part of user guide document..