Yes, but it depends on the lens. As far as I know, most Schneider Kreuznach Bluering lenses write this in the Exif data. Older Mamiya lenses from the AF area or the standard Phase One lenses don't do it - at least that's the case with the lenses I own.
If you know exactly which lens you want to use, ask Phase One before or write here. If I should own this lens I can then gladly look for you.
Greetings Gerd