They're called daytime running lights and just about every car here in America has them these days.
My car has daytime running lights, then when it gets dark, the headlights automatically switch to the nighttime setting (full power). The daytime running light setting isn't as bright as the nighttime setting because it doesn't have to be.
It is possible, but the only way to do it is to pull the fuse on the DRL module in the fusebox.