Is there any shuttle bus from beijing to Shijiazhuang airport?

First of all, there is no direct bus that runs between these two places. And it's also not necessary to go to SJZ Train Station first. Here is an easier way:
Take a bullet train from Beijing West Railway Station and get off at Zhengding Station first. The duration is about an hour.
After arriving, take free shuttle bus to the terminal buildings. It only takes around 5 mins.