Can we travel faster than the speed of light?

The way I've seen it explained, one would be isolated from the universe, inside a warp bubble. There has been some concern expressed about the effect a space warp would have on objects in normal space. Perhaps the points in space in which a warp drive is activated, and then deactivated at the destination should be at a considerable distance from any planets. The way physicists talk about permissible (effective) speeds above those of light, is to call this global speed, while local speeds above those of light are prohibited by relativity theory.