HSS isn't so trivial.
Here's something to think about.
The normal maximum shutter speed for flash involves the flash only firing once after the shutter opens. But the shutter is mechanical... so this takes time. The shutter has two "curtains" (doors). One slides open (typically from top to bottom) and the other slides shut (also from top to bottom). If it were to only use one curtain which slid open (top to bottom) and then closed (bottom to top) then the pixels along the bottom row would technically get a longer exposure than the pixels on the top row -- and that's no good. Hence... two curtains on the shutter.
HOWEVER, it does take some time to slide the curtain completely open. The flash must not fire until the shutter has finished opening... and must fire BEFORE the shutter begins closing. If it fires too soon or too late then you get a flash when part of the sensor was covered by a shutter curtain and that's no good.
If your max flash speed is normally 1/160th then it means your camera takes 1/160th of a second to open the shutter, in that millisecond of time the flash will fire, and then the second curtain will immediately begin closing. The exposure will actually take TWICE the amount of time (1/80th second) but since the first row to be uncovered as curtain #1 opens is also the first row to be covered up again as curtain #2 closes, no single pixel is exposed for more than 1/160th second.
Here's the problem with flash at high speed.
If you want to take a faster photo... say 1/320th... then the first curtain has to start sliding open. When the first curtain is only 1/2 way open, the second curtain actually starts closing. It is effectively exposing just a slit of light which sweeps across the sensor. No single pixel is exposed for more than 1/320th of a second EVEN THOUGH the mechanical speed of the curtains does not technically change. They move at the same speed. The only difference is the delay from the time the first curtain starts to move until the 2nd curtain starts to move and this changes the size of the "slit" that sweeps across the shutter.
And therein lies the problem with "flash". If the flash fires just once at any point during that exposure... only the part of the image exposed by the slit gets the benefit of the flash. Everything else was shaded by the partially closed curtains.
To compensate for this problem, some camera and flash combinations are able to support a mode called "high speed sync". When this mode is enabled, the flash will fire multiple times as the curtain moves. Just HOW many times it fires, depends on the shutter speed.
If you use 1/320th (half the exposure time compared to the 160th sec in which just a single pulse of light would have worked), the flash has to fire twice. The first time when the top half of the image is exposed, the second time when the bottom half of the image is exposed. These two have to be perfectly synchronized to avoid overlap.
This creates a new problem for the flash. The flash can't dump the full power of light when it flashes because it needs to reserve some power for that second flash of light. This means that each of the two pulses of light can only be HALF as powerful as compared to what the flash could do with a single pulse of light. This cuts into your power and you have to consider the impact on your shots.
If you increase the speed again... say now we're at 1/640th, now the flash has to pulse 4 times. No single pulse of light can be more than 25% of the total power of the flash. At some point you're forcing the flash to pulse 8 times... or 16 times... and the effective power of just 1 pulse is getting low to the point where the flash coverage is not very great.
To compensate for that... you need multiple flashes.
With the Canon 600EX-RT you can cluster them (up to 16 I think... it may only be 15). In any case... clustering them and getting them to all do HSS at the same time (synchronized high-speed synch -- which sounds redundant but isn't) allows you to combine the power of an array of flashes so that you STILL get the power output that a single flash could deliver in just one pulse... but you get to do it at very high shutter speeds.
Bottom line... yes, you can do high-speed sync.... but you may need many flash guns to pull it off depending on your subject. There is no free lunch. :-/