I have no idea why you would ever want to do this, but SMSresume.com allows you to send your resume via SMS. Are there any recruiters out there that would actually want to receive a resume in this fashion?
UPDATE: Hang on, I didn’t read enough about the service — apparently you upload your resume via SMS and then you can use SMS to send your full resume to any e-mail address, meaning if you are out and about with only a cell phone and see a job ad you want to respond to, you can immediately do so with your cell phone. I guess I’d be a little worried about formatting, but maybe that’s not as big a concern. The service also accepts cover letters.