I found a post a while ago but I figured this idea could use a re-up.
Here is the original post I found:
https://forums.autodesk.com/t5/inventor-ideas/ipart-table/idi-p/3769066
In the iPart or iAssembly Edit Table menu, there is still no quick way to rearrange the columns to put the most important parameters and feature supressions first.
I hear there is a work around to use excel to rearrange columns and although it might work its more time consuming compared to just dragging and dropping into place using the iPart or iAssembly edit table browser.
Here is a picture of the table I am talking about.