Yes, light traveling from a star 10 billion light-years away actually takes longer than 10 billion years to reach us because it also has to traverse the distance the universe expanded in that time.

The universe is expanding at an accelerating rate, which means that the distance between any two points in space is increasing over time. This means that when light from a distant star is emitted, the space between the star and Earth is expanding as the light travels. As a result, the light has to travel a greater distance than 10 billion light-years to reach us.

The amount of time it takes light to reach us from a distant star is called the “light travel time.” The light travel time is always greater than the distance to the star, because of the expansion of the universe.

For example, the light from the galaxy GN-z11, which is the most distant galaxy ever observed, took 13.4 billion years to reach us. However, the galaxy is now thought to be 32 billion light-years away, because of the expansion of the universe.

The expansion of the universe can also cause the light from distant objects to be redshifted. Redshift is a phenomenon that occurs when light from a distant object is stretched as it travels through space. This stretching causes the light to lose energy and shift towards the red end of the spectrum.

The amount of redshift of light from a distant object can be used to estimate the distance to the object and the expansion rate of the universe.

The expansion of the universe is a fascinating and complex phenomenon. It is still not fully understood, but it is one of the most important discoveries in modern astronomy.