It would have to be a custom job or perhaps a new extension has been created to sync Magento and Amazon. Our team actually works on a number of integration solutions for Magento and the Amazon solution is one we should be releasing soon. Using the nChannel connector for Amazon web sites user will be able to quickly and easily integrate and connect your Amazon web store to a variety of eCommerce, POS, ERP and accounting systems.
You can read more about what we have in store on our website: http://www.nchannel.com/connectamazon/
Feel free to reach out with questions.