I am not aware of such a feature. However, one can create a JMP Report(.jrp) or a script(.jsl) or an addin(.jmpaddin) that when opened, would open the data table and run a script. What are the specifics of what you are wanting to do?
You can create a table script called "On Open" which will be run when the data table is opened.
See "Prompting to Run a Script upon Opening a Data Table" in the Scripting Guide
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Jim