Is the Alpha Centauri star system moving closer to us? The closest star system after our sun is Alpha Centauri, a three star system with Proxima Centauri, a red dwarf, slightly closer to us than the other 2, around 4.3 light years. I tried Wikipedia and other articles that describe Alpha Centauri and there is plenty of information, but no where could a find an answer to said question.  

My presumption is that if the distance is measurable, so should the variance in this distance.
Yes, it's moving closer.

Per Wikipedia.  

Source.

In about 30,000 years Alpha Centauri will be 3 (and change) light years away, then it will start moving further away.  

If anyone wants to provide a more detailed explanation on stellar movement and charts, please feel free.