Not unless you still have the license key, though I can only assume that you have lost that along with the CD.
I don't think there is much you can do without a valid key - at least if you had that you could reinstall Office from another 2003 CD and use your existing key (which you would be perfectly entitled to do).
I have lost the original office 2003 cd. I have tried all programs to find the key. Nothing works.
I thought microsoft would give me the #'s, but at the last minute the tech backed out. I have the program, a copy, but no #'s.