@Liar
3/3.5. D&D
Lack of spoken parts puts it more in line with psionics than true magic.
Dimension Swap is a second level power for Nomad Psions and Psychic Warriors that permits changing two nonhostile targets placement, though a Psychic Warrior must be one of their own targets. There's no real reason a DM could not permit an offensive variant, nor to expand the power to include objects among the targets, especially since augments allow you to adjust the exact function of a power in the first place.
Simply put, she's at minimum a 3rd level Nomad Psion, likely with some levels in Monk as well for her unarmed fighting style.
Putting more thought into it; Counting the number of people there, that would take 21 power points to have displaced them all allowing for it to be a purely offensive variant not requiring augments to make it so. At 3rd level, this would require a minimum of 24 Intelligence, practically impossible, but a 4th level would only need a minimum of 14 Intelligence, which frankly would be a bit low. So a minimum total of 5 levels, 4+/1+ Nomad Psion/Monk.