Hypoglycemia do cause muscle stiffness whereas you are diagnosed for Relapsing/Remitting Multiple Sclerosis and this also can cause your symptoms. But generally due to the lack of the energy giving element glucose the body and especially the brain cannot work well and these symptoms occurs. Once you eat, these symptoms reduce as you get the molecules required for your energy. Muscle stiffness causes the patients of MS to slow down in their movement and it also affects on the scale of coordination. Eating will not reduce the stiffness, as it a neurological condition and can be treated by stretching exercise and medicines. You need to meet your doctor.