Jabref uses bibtex as internal format, which is fairly standard. There are some apps on the play store if you search for "bibtex", though i personally haven't tried them.
I guess the main difficulty might be in regards to how you store the file links and associated files.
It can and I've used this as well to export from zotero, but there's a subtle difference in workflow between having to "export" your db in order to use it on another device (not to mention being bound to a browser extension) and having your db in a text based format that a multitude of software can directly work with.
Their site only lists Desktop (Mac, Windows, and Linux) and web browser extensions, so I'm guessing no. I'd like be to be wrong. Are there other Android apps that aren't necessarily provided by Zotero? They seem to have a pretty open API for access to your online library. For example, I used to use a completely different iOS app than the Zotero proper app for annotating PDFs.