In short, no. The entire model of console based computing is tied to time, the direction we naturally read text, and input/output streams. This directional limitation might make more sense if we switch to world of fiction:
In the Voyage of the Dawn Treader by C.S Lewis, the dufflepuds washed the dishes before the meal to save time afterwords. They also tried planting baked potatoes. The experiment was a failure, but in Back to the Future, Doc Brown succeeds in modifying the input for programs that have already generated their output. In Groundhog Day the protagonist got to live the same day over and over and modify small bits at a time to test their affect.
For the rest of us, the river of time constantly flows down hill.
Edit: Start your demos by clearing the screen with clear or Ctrl+L. In supported terminals and shells this will blank the screen and start your command at the top left. After each major step or when you get too far down, you can clear and start over at the top. This will not mess the head of people that are familiar with console based programs and still help console newbies to understand the general flow of things.
Your keybindings may vary but having something bound to the clear command will even allow you to clear a screen from inside a program such as being at the sqlite prompt.