You cannot convert .icc color profiles to other formats, which includes all kind of graphics files. What you can do however, is to apply the .icc profile to existing picture in Photoshop or any other graphics editor that works with ICC color management files.
In this particular case of .cin images, you need to use a software that can open/import these files, so Adobe Photoshop is a safe bet.
Updated: January 20, 2023