Is there a program to allow a Mac to read old Lotus Symphony files? Apparently IBM no longer has control...

Try Libre Office. I used to use Lotus Symphony and somebody asked for data I had from back then. Libre Office (free) converted the files, or at least that stored data. I either did not have any calculations and graphs or those were not converted.

Hello Coloradocattleman.

Is there a program...?

If there is, a good place to start will be with Apache OpenOffice because they are the ones who took over development of the IBM software back in 2013.

https://www.openoffice.org