No; CL55 is a supercharged V8. The CL65 is the one you're thinking of, which has a twin-turbo V12. They stopped making the 55 in 2006 I believe (when the body style changed) and replaced it with the N/A 6.2 V8 in the CL63 (and then I think they replaced that too, with a smaller, twin-turbo V8.) My dad had a silver CL55 like the one in this video, it was brutally fast but unbelievably nice to drive.
Is the one in the video modded somehow? I would believe the car could pull a time like that bone stock.