The male lead is in highschool.
His psychic power is based on teleportation: he can grab something with his hand from afar and "deposit" it somewhere else. The properties of what he's grabbing (water or a piece of a steel bar) have no influence on his ability to teleport the material.

One of his male classmates finds out and intends to use his gift to change the world.
The protagonist doesn't really mind being used since he doesn't really have a goals of his own.

They end up terrorizing the country by taking down buildings (and using media to alert people beforehand). The protagonist uses his power to remove the supporting materials and structures, one handfull at a time.
Later a girl and another guy (from outside the school; same age) join them.

The protagonist had his power awakened by someone.
The trick about awakening the power had to do something with "becoming one with the world" and the protagonist starts to fear (literally!) disappearing because of his power.

Lastest chapter I remember is them being in a car on a bridge, taking down a heavily protected momument with a lot of media around it (;far away objects needed a direct line of sight appearantly).

Phew! That's all I can remember!
Weird I couldn't find it though.. since usually this much is plenty.
I hope that at least someone knows what series I'm looking for!

Awesome! Thanks a bunch!