You can print the picture from a .eip package to PDF format in Lightroom, but it does not seem to be possible to convert eip to pdf directly. Probably used for the purpose of previewing or printing the picture from .eip file.
Convert Capture One Enhanced Image Package to Adobe Portable document format.
We have found 2 software records in our database eligible for .eip to .pdf file format conversion.
Microsoft Windows software - convert eip to pdf on Windows
Adobe's professional tools for RAW image management and post-production
Convert from eip 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 eip 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 eip to pdf on OS X
Mac version of Adobe' professional digital photo editing tools