Yes, gamma rays can travel through empty space. In fact, they are one of the few types of electromagnetic radiation that can travel vast distances through the vacuum of space.

Here's why:

* Electromagnetic Radiation: Gamma rays are a form of electromagnetic radiation, meaning they don't need a medium to travel. They are made up of oscillating electric and magnetic fields that can propagate through the vacuum of space.

* High Energy: Gamma rays have incredibly high energy compared to other forms of electromagnetic radiation like visible light or radio waves. This high energy allows them to travel through space without being significantly absorbed or scattered.

However, there are some things to consider:

* Interstellar Matter: While gamma rays can travel through space, they can be absorbed or scattered by interstellar matter, such as gas and dust clouds.

* Cosmic Background Radiation: Gamma rays can interact with the cosmic microwave background radiation, which is a faint afterglow of the Big Bang. This interaction can cause some loss of energy for the gamma ray.

In summary, gamma rays can travel through empty space with very little interaction, making them a powerful tool for studying distant objects in the universe.