No. That’s not how the newton’s cradle works. If you managed this, and it would be damn difficult, you would fly off the top as the bottom chair flies off the bottom. Now you’re landing ever so slightly more gently against a stack of mangled chairs.
Assuming in a hypothetical that you somehow sat at the bottom of the stack and could perfectly convert all of your body’s energy to kinetic energy and fire the chairs out the bottom, we can instead apply the rocket equation to see if you’d stop in time.
While I can’t possibly be bothered to do the math, no human amount of strength can do this.
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