Can I submit a different essay to Common App schools that I've already applied to?

I was talking to some classmates about how the best approach to college essays is to write something totally different than anything the admissions offices have seen before, and I had an idea for an essay that I think would be really good, but I’ve already submitted all my essays. Not only would this be a better essay in general, but it would be a much better representation of me as a person, so I would very much like to submit it instead of the essays I did submit. Is there any way for me to do this? I’ve read that you can email admissions offices about any changes to your essay, but can I email them a new essay altogether?