No, paint can rattle is from the timing chain in the front of the engine. My 05 had it. Fixed with new chain, tensioners and bottom gear sprocket. No other kind of problem since.
Work was done at the dealership: First, they put in a spacer for the tensioner. no help
Next, they did new tensioners. helped, but some noise was still there.
Last, they did everything. Updated tensioners, sprockets and chain. Total cost was about $1600. I bought it knowing it had this problem with 8400 miles on it. Has just 12,000 now.