No, suffering from tinnitus doesn't automatically suggest a concussion. Tinnitus is the ringing in your ears that people experience after exposure to loud sounds. Many different things, including age-related hearing loss and medications, can cause it. A concussion from an accident is just one of them.
Concussions are serious injuries when someone experiences trauma to the head or neck. They can cause long-term neurological problems, including memory loss and cognitive deficits.
Consult with your doctor to determine what caused your condition.