Well it technically can, it's just very very very very unlikely.
To visualize how big 52! is, imagine you set a timer to count down 52! seconds (that's 8.0658x1067 seconds)
Stand on the equator, and take a step forward every billion years
When you've circled the earth once, take a drop of water from the Pacific Ocean, and keep going
When the Pacific Ocean is empty, lay a sheet of paper down, refill the ocean and carry on.
When your stack of paper reaches the sun, take a look at the timer.
The 3 left-most digits won't have changed. 8.063x1067 seconds left to go. You have to repeat the whole process 1000 times to get 1/3 of the way through that time. 5.385x1067 seconds left to go.