I wouldn't. You can buy an adaptor to go from Canon to Nikon mounts, but if you are buying a lens, stick with Nikons and DX lenses are for the smaller chip as in the 3200. Regular lenses will work but the properties change. Example, 50mm becomes 75mm-ish. Also, you want Nikon lenses talking to the Nikon body.
Thanks James - 2nd question :-)....
Is this lens the Cannon specific lens? B/c I have seen this lens specifically for a Cannon, a Nikon and a Pentax and a Sony. Does your answer hold true even for the Nikon specific lens?
I appreciate your response - the numbers are mind boggling!