Unfortunately, no, not without his social security number. You need that. It is required on the form (I posted the link to the form earlier in this thread). Usually, spouses know each other's SSN. He clearly knows yours and uses it on the returns he files with the IRS. It is a problem if you do not know his number.

Maybe other posters have ideas how you can learn his SSN. There was a law passed some years ago which requires truncation of SSNs on forms that get mailed. So even if you look around in his mail, say from the social security administration, you won't see the entire 9 digit number. I am out of ideas.