No, It's called the sport mode. Adaptive drive is different. And I believe with the EDC you should be able to adjust the sport mode, choosing to use only the drivetrain or chassis or both. Drivetrain is the one that gives more acceleration.
picked this up from BMW's website
"Adaptive Drive counteracts the forces that cause body roll. Your BMW handles with outstanding sporting agility, while also ensuring a very comfortable journey for you and your passengers. Body roll is practically eliminated, and winding roads can be enjoyed with a maximum of stability and safety."
hope this helps =D