You can generally re-pack various compressed archives from one format to another when you extract the original file (in this case ZIP) and compress the data again to a 7Z format. The difference is usually in the compression ratio and thus resulting file size.
Convert WinZIP Compressed ZIP archive to 7-ZIP compressed 7z archive file.
We found 10 software records in the database related to .zip to .7z file format conversion.
Microsoft Windows software - convert zip to 7z on Windows
Popular open source file archiver with a high compression ratio
Convert from zip 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 zip to 7z. 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.
One of the many available file compression utilities
A free open source archive utility
Apple macOS / Mac OS X software - convert zip to 7z on OS X
Ma version of a free compression utility
A compression utility for OS X
A compression utility for Mac
Mac version of the popular utility
A backup and archive utility
Full-featured compressed archives manager
Linux/Unix software - convert zip to 7z on Linux
A Linux application used as frontend for popular compression tools