They missed the shoot-around while taking care of paperwork following the mishap.
Team spokesman Eric Sebastian says Smith was driving one of Anthony's cars, but didn't have any other details.
The accident came a day after Anthony, the league's leading scorer, was snubbed from the Western Conference All-Star squad.
Allen Iverson, who was named to his eighth straight All-Star game, also missed the shoot-around.
He was traveling back to Denver from a family funeral.
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