Not possible. Engeering Explained has a great video on the topic.
I actually interpreted his video differently. My understanding was that the wet clutch pack has different "settings" depending on the torque distribution you are looking for (and also your current gear, I think).
So in theory, you probably could adjust the pack settings to transfer more torque to the rear diff. The issue with this is that the clutch pack acts as a "brake" in the way it transfers torque, so the more torque you try to force to the rear diff, the more heat and wear you put on the clutch pack.
Going off this logic, I would expect that driving in "sport" mode all the time would cause your clutch pack to wear out quicker than driving in the standard mode, as your clutch pack would be taking on more load.
Also, something that just occurred to me is that you'd probably see HP losses as you transfer more power to the rear, as some energy is being consumed as heat in the clutch pack. Probably insignificant but I'm not sure (maybe that's why track mode is 50:50?)
Oh and if someone more knowledgeable on the subject would like to correct me, please do! My understanding is obviously pretty shallow.
anyway, here is the video if anyone is interested: