Canon 10 22 is an EF-S lens; the 1DIII has an EF mount only - no EF-S.
You will only be able to do this if you physically alter the 10 22 to fit an EF mount. This may then result in the camera mirror hitting the rear element of the lens.
In conclusion I wouldn't recommend this. If you do want to try a wide crop lens on a 1DIII have a look at the third party alternatives, which are EF mounts, not EF-S. E.g. I'm pretty sure you will be able to mount the Sigma 10-20mm f4-5.6 EX DC HSM on a 1DIII, but you will get black corners at the widest focal lengths.