I had the same thought, and this is actually the rare case where it might apply!
In real life as far as movement goes you're never actually trying to get to an exact point. For one thing, because of uncertainty in measurements you can't ever get to an _exact_ point. You can't even tell _exactly_ where something is. On top of that (literally in this case) objects take up space, even individual atoms, so if you move an object to a point it won't be exactly at that point, it will be overlapping that point to some degree. So no matter how precise you're trying to be you're always overshooting at least a little bit. Which means that even ignoring the problem of calculus Xeno's paradox has a hole in it. You're never trying to get exactly to a point, you're actually trying to get to a little past the point and just stopping once you're close enough/sufficiently overlapping. It's effectively the same as starting out trying to run twice the distance, getting halfway, and declaring yourself done.
The difference in this case is twofold, one: there's no "past the point" you can aim for. The whole idea of absolute zero is that it's the lowest you can go. Two: they seem to be saying that there is no quanta of temperature. You can never remove the last bit, you can only remove a portion of what is there.
Assuming that the second part is correct (i'll leave the proof or disproof of that to actual scientists =) the first part makes it impossible to ever arrive at actual zero.