We are using Office365 with Microsoft Teams. I need to know whether there is a solution we can use to connect Microsoft Teams groups in order to receive and store files on SharePoint on-premise instead of Online? Is there a connector that can do that? If this is not an option, is there any other chat software that can integrate into SharePoint?
Short answer to your question is No.
Microsoft Teams is not available for SharePoint on-premise. It's basically a chat-centered workspace in Office 365.
However it is possible for hybrid environments. Check more details at:
Also check below question if it helps you just to show the documents in Microsoft team: