Matter can, and is manipulated regularly without physical contact... Depending on how you define that...
-High pressure can turn carbon into diamond
-electricity can be used to break the bonds in water, separating hydrogen and oxygen to make flammable water. Yeah... Flammable water. In reverse, hydrogen when utilized as fuel mixes with oxygen to give off water as a byproduct.
-radiation can fully cook food, from the inside out.
-magnetic fields can be used to defend us from radiation, wipe electronics, deflect wireless signals, and move large objects without physical contact.
-pressure from air can make a large object float, launch a projectile, crush an object, and create powerful explosions.
The universe is sitting there doing the kind of things we can't even manage to utilize at our disposal yet, simply because it can. And its secrets aren't anywhere near fully unlocked... But if that's what you mean by without physical contact, well there you go.