Specific pages for category listing

If i have category like this:

-Category parent
—category child 1
——category child-child 1
——category child-child 2
——category child-child 3
—category child 2
——category child-child 1
——category child-child 2
——category child-child 3
—category child 3
——category child-child 1
——category child-child 2
——category child-child 3

is it possible show in one page only the category child, and not the children of this….and if someone click on this category show in another page the category children of this ?

thanks