Yes it does.
The autonomic nervous system is typically divided into two main subsystems, the sympathetic nervous system and the parasympathetic nervous system. These tend to balance each other, offering opposite and yet complementary effects reflective of the philosophy of Yin and Yang. The parasympathetic nervous system counters this, and is central during rest, sleeping, and digesting food and, in general, lowers metabolic rate, slows activity, and restores blood pressure and resting heartbeat, and so forth ). Just as Yin and Yang are opposing, yet complementary and interdependent forces, the sympathetic and parasympathetic systems complement each other and are both necessary to create overall harmony and balance in the living organism.THEREFORE THE SYMPATHETIC SYSTEM DO NOT SUPPORT OR INHIBIT DIGESTIVE ACTIVITY.ONLY THE PARASYMPATHETIC THAT IS KNOWN TO BE CENTRAL DURING REST,SLEEPING,AND DIGESTING OF FOOD.