You cannot do this using the web console, but with the help of the API and programming tools you can add a few steps to the long work, and this is what I do. Thus, you can run tasks one after another in the same multi-year cluster without the need to re-create a new one.
If you are familiar with Python, I highly recommend the Boto library. Other AWS API tools also allow you to do this.
If you are following the Boto EMR study guide , you will find a few examples:
Just to give you an idea, this is what I am doing (with streaming jobs):
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