As both ZIP and CAB are compressed file archive, you could simple repack one to another - preferably with a file archiver that supports both formats at once.
Convert WinZIP Compressed ZIP archive to Windows Cabinet Compressed Archive.
We have found 3 software records in our database eligible for .zip to .cab file format conversion.
Microsoft Windows software - convert zip to cab on Windows
FilZip will compress and decompress ACE, ARC, ARJ, BH, XXE, ZOO, ZIP, and others. FilZip includes a simple six-option context menu interface to unarchive files. Easily selected options include extracting in place, to a new directory, e-mailing or testing it. FilZip includes the many archive options expected in current tools.
Convert from zip file
to cab file
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 cab. 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.
ALZip is compression utility that supports about 40 archive file formats. ALzip can open ALZ, ACE, EGG, RAR, ZIP etc.. Also can open disk images, such as ISO and BIN, LCD. ALZip is able to recovery passwords in protected ZIP archives.
IZArc is free compression utility for Microsoft Windows. IZArc supports variety of archive formats such as 7-zip, ARJ, ZIP, RAR, CAB, ACE, PAK etc. Also supports popular CD/DVD images such as ISO, BIN, NRG, IMG, MDF etc. IZArc also can convert archives and CD/DVD images. IZARC can repair damaged archives, creates self-extract archivers. IZArc is translate to many languages.