Is it normal for people with tourette's syndrome to have violent outbursts instead of vocal or small motor tics?

Not typical. People with tourette's can have violent outbursts that may be tics - in which we would call "vocal tics, ' if the vocalization is stylized and repetitive. But these patients may also have temperament problems that are not tic related. Best to discuss temperament and vocal tics with your doctor.
Not Violent Behavior. If by outbursts you mean violent or aggressive behavior, then the answer is no. Verbal outbursts can occur, but any violent behavior would have more to do with the impulsivity and hyperactivity that often go along with tourette's, instead being related to the tics themselves.