If the answer to the question above is yes, then the following announcement will be interesting to you:
With the Office 365 SDK for Android Preview, it’s now possible to use data stored in Microsoft Office 365 from your Android Apps. This means, you can access SharePoint lists, folders or Exchange calendar, contacts and emails from within your Android-based applications.
Microsoft Open Technologies, Inc. (MS Open Tech) has built the Office 365 SDK for Android Preview, an open source project that strives to help Android developers access Office 365 data from their apps.
This SDK provides access to: Microsoft SharePoint Lists, Microsoft SharePoint Files, Microsoft Exchange Calendar, Microsoft Exchange Contacts, Microsoft Exchange Mail
If the answer to the quesiton above is yes, then the following announcement will be interesting to you
Do you think there will be Android app that work with Sharepoint on-premise?