Is it possible to control 600 Led with arduino Yun

So if I understand it correctly it's no problem to send all the bytes because they are send after each other.
I thought if I want to control 576 that i should have enough RAM to send all the data in one time?
Also I heard that there would be possible timing problems but i don't know how. The data is put on a serial
and shifted to the other Leds but they don't use a clock or latch.