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You can definitely setup multiple stores on separate domains, but it sounds like you will need some integration to help with data sharing between all the stores, correct?
We actually provide a solution to help you integrate multiple stores on different domains, although we’d have to learn more details about exactly what you’re trying to achieve. If you have separate Magento websites (totally separate implementations), you can use multiple channels in our portal, with each one using the Magento adapter. What our system does is read data from one source (a channel) into our database, and replicate it to other destinations (other channels). This means we can read data from one Magento store into our database, and push that info back out automatically to any other channel, including other Magento channels. This gives customers a single master inventory/category control.
You can read more about our solution online http://www.nchannel.com/connect-magento-2/
Feel free to contact us to see if this meets what your requirements are.