Android - Is there any way to edit ODT documents on Android?

There is AndrOpen Office

AndrOpen Office is the world's first port of OpenOffice for Android.

You can view, edit, export office documents using full features of the OpenOffice.

AndrOpen Office has 6 components:

• Writer (a word processor)
• Calc (spreadsheet)
• Impress (presentation graphics)
• Draw (drawing)
• Math (equation editor)
• Base (database)

* AndrOpen Office is forked project from the Apache OpenOffice project.

AndrOpen Office is not affiliated with the Apache OpenOffice project.

Strictly speaking, not really an ODT editor, but Google Docs accepts ODT and you can edit Google Docs on Android. The file would have to be converted to Google Docs internal format then exported back to ODT though.

Currently there is not a single solution on Android for editing ODF files. But keep your heads up: The LibreOffice team is working hard on an Android version of the entire office suite!

Though this is already "old news", and has been heard about for at least half a year, the screenshots look very promising -- at least with a tablet in mind.

Which leaves us with the question: When Libre Office will be available for Android Smartphones? If you read the information on the linked page (which hopefully will be updated with more details when available), it very much looks like the standard Debian answer: It's ready when it's ready.