No, not all liquids have a density greater than that of ice at room temperature. In fact, the density of ice is lower than the density of most liquids, which is why ice floats on water.
Water is one of the rare substances that exhibits this behavior. When water freezes and turns into ice, its molecules form a crystal lattice structure, which causes the ice to have a lower density than the corresponding liquid water. This is why ice cubes float in a glass of water.
However, it's important to note that there are other substances that can also have lower densities than ice at room temperature. For example, certain organic compounds or mixtures can have densities lower than that of ice, and they may exist in a liquid state at room temperature while being less dense than ice.