It seems the only way to print .ind/.indd files from InDesign as PDF documents is to use the original software, as the proprietary formats are not supported in other programs. There are also command line scripts for InDesign Server that allow the very same thing.
Convert Adobe InDesign for Mac document to Adobe Portable document format.
We have found 2 software records in our database eligible for .idd to .pdf file format conversion.
Microsoft Windows software - convert idd to pdf on Windows
Professional desktop document publishing software from Adobe
Convert from idd file format
The tables with software actions are a good pointer for what a certain program does with various file types and often may give users a good hint how to perform certain file conversion, for example the above-mentioned idd to pdf. However, it is not perfect and sometimes can show results which are not really usable because of how certain programs work with files and the possible conversion is thus actually not possible at all.
Apple macOS / Mac OS X software - convert idd to pdf on OS X
Mac version od Adobe's popular document designing and publishing software