Why Not ? It's possible and eAssistance Pro live chat plugin can be easily integrated on such a eCommerce store website. 

Hello

By using eAssistance Pro you can allow your Facebook visitors to connect for instant chat.

Follow here

> Login to your Facebook account

> Search for Static HTML Iframe tab by Woobox

> You will be taken to the respective page and click on 'Install Page Tab'

> You will be redirected to your FB Add Page Tab section. Select … Read more