No, the neurotransmitters are used in the communications between the nerves themselves and between the nerves and the target organs (e.g. muscles, internal organs etc.). For example the neurotransmitter Acetyl choline (ACh) is used in the synapses between the nerves and the skeletal muscles, and these synapses are adjacent to the muscles throughout the body. The same goes for the autonomic innervations of the internal organs which are mostly done with the neurotransmitters ACh and Norepinephrine.