We know that the universe is expanding, and that means everything is spreading apart. So does that mean in the future all the stars will dim and eventually disappear in our night sky because of the expansion? Just a curious thought that came to mind.
Actually not everything is moving apart. On a scale of millions of light years gravity dominates and there isn't metric expansion of space. This is why (for example) the Andromeda galaxy is moving towards the Milky Way.
So nearby stars (only a few tens of light years away) are not affected by the expansion of spacetime at all.
In the very distant future (countless trillions of years, ie long after the sun has died) it is possible that the expansion of space accelerates to the point that objects on smaller and smaller scales move apart. This is sometimes called the Big Rip. It is strictly hypothetical, and observations tend to suggest it won't happen at all.
So the short answer is "no", stars won't get dimmer due to the expansion of space, because in locally, it's not expanding.