This can easily be done. The example below takes a sample data table and runs a t-test on the data, and then using Make Data Table, a new table is created from the results table.
From here, to move the output data table into the original data table, one copies the script for the new data table. Click on the red triangle in the Table Panel and select "Copy Table Script". This copies a script version of the script into the paste buffer
Now go back to the Table Panel red triangle and select "New Script"
Paste the script from the paste buffer into the script area of the New Script and add the name you want to be displayed in the list of scripts in the Table Panel
The result will be that the script is added to the Table Panel
Jim