No, you stack 'em like firewood -- in a pile out of the way.
Maybe you can stack dozens of 50 lb. blocks of ice, but that's not something I could do, and I wouldn't wish it on my husband either. Even if someone had the kind of space to store all of these blocks, what happens when the weather warms up? Unless the blocks are stored outside, there will be a huge mess in the storage shed or garage. Outside, the kids will view the ice mountain as a fun chance to play Antarctic explorer, with possibly disastrous consequences when the now melting blocks tumble in an unruly heap on top of the children.