* Sound: Sound waves can travel through solids. This is why you can hear someone knocking on a door, or why you can hear a train coming by the vibrations in the ground.
* Heat: Heat can be transferred through solids by conduction. This is why a metal spoon gets hot when you put it in hot soup.
* Light: Some light can pass through some transparent solids, like glass or water.
* Electricity: Electricity can flow through some solids, like metals, which are good conductors.
However, objects themselves generally cannot "travel on through" solids. Solids are dense and have a fixed shape, so objects would need to displace the solid or break it to move through.
So, the answer depends on what you are thinking of. Can you give me more context about what you are asking?