Generally, no. Shock will most probably increase your heart rate. This is because your body tries to compensate for relatively too little fluids, blood, and oxygen in the body - so it tries to speed up the blood circulation.
But this doesn't always mean that shock is always present with tachycardia (fast heart beating). If a patient is in shock because of conduction abnormalities, and their heartbeat is abnormally slow or not at all (asystole), you won't observe such a relationship. Read more