Can iron deficiency or vitamin d deficiency cause your body to shake?

May be: Some one deficient in iron and vitamin D is likely to be deficient in other nutrients as well. If would be prudent to consult a doctor for a proper assessment. In the mean time, take a multivitamin tablet daily. For good health - Have a diet rich in fresh vegetables, fruits, whole grains, low fat milk and milk products, nuts, beans, legumes, lentils and small amounts of lean meats. Avoid saturated fats. Exercise at least 150 minutes/week and increase the intensity of exercise gradually. Do not use tobacco, alcohol, weed or street drugs in any form. Practice safe sex. Get HPV vaccine.