It's possible, provided you're willing to email it to yourself, open it on your phone or tablet and save the attachment from there.

ENGADGET: Google Drive preview: an in-depth look at features and functionality

Attachments to e-mails remain a particularly easy place to store malicious code of all sorts, so be sure of an attachment's provenance before you open or save it.

BBC: Q&A: Phishing for your precious data