The crash happened near Laurel Canyon and Ventura boulevards just before 3:30 a.m., according to Los Angeles police.
Authorities said the vehicle lost control, possibly as a result of street racing.
The driver took off in another vehicle after the crash, police said. Cameras were rolling as several people -- believed to be the driver and his passengers - left.
One person inside the store was transported to the hospital with complaints of pain.
The hit-and-run collision is under investigation.