It is true.Think of an atom as a solar system. There are protons, neutrons, and electrons. In the nucleus, or the "Sun", are protons and neutrons. The electrons are "orbiting" the "sun" in valence eletron rings. Think of the amount of empty space in a solar system and then you will see that yes, an atom contans about 99.9999999999...% empty space.
ie;An atom is made up of even smaller components called protons, neutrons and electrons. The protons have a positive charge, neutrons have no charge (they are neutral) and electrons have a negative charge. The protons and neutrons stay in the center called the nucleus, but the electrons are flying around the nucleus. All of these sub-particles are very small, but they can effect each other. so think of a magnet having a positive side that is attracted to the negative side of another magnet. The electrons are attracted to the positively charged protons in the nucleus, but they can’t all be close to the protons because they are repelled by the other electrons. So what ends up happening is all the electrons push each other and spread out because of this repulsion. If they get closer to each other they are just pushed away again because of the strong repulsion. (If you wonder why the electrons just leave, it is because they still feel the pull of the protons, and also they can leave to go toward another element, which forms bonds).