No. The product listing for the Apple EarPods does not show the 3rd gen shuffle under Compatibility
http://store.apple.com/us/product/MD827LL/A/apple-earpods-with-remote-and-mic
A solution is to get an adapter that has compatible remote control buttons. For example
http://www.amazon.com/iLuv-iEA15wht-Adapter-Earbuds-Headphones/dp/B002RL9WE0
You can then connect any standard headphones to the adapter, including the Apple EarPods.