Yes. Proper washing with any kind of soap will clean your hands. Soap works so well on the new coronavirus and indeed, most viruses. According to Palli Thordarson article published on the marketwatch.com, "because it is a self-assembled nanoparticle in which the weakest link is the lipid (fatty) bilayer". It's a better explanation in science but we can simply be explained by the picture and the video as below.
Soap is more effective than water alone, soap lift dirt and germs off the skin, then rinsing with water sends all that stuffs down the drain. Proper hand wash with soap and water is recommended for 20-30 seconds can remove germs, bacteria and viruses.