im not sure what you mean by break the screen.
When you put it in sleep mode (it times out of you can press the button) then the touch screen deactivates. Presses on it won't do anything.
But if you mean beak as in snap in half then no it shouldn't lol.
Some people just don't like touch though, like i have a mate who doesn't like touch things cause he's like you and thinks that somehow he will break it