In short, yes..
More specifically, as long your zoom lens is an "EF" mount lens, it will work with all Canon Digital-SLR models from the EOS line. You can determine if a lens… is an EF mount from the full name of the lens. The full name of the lens is usually written on the outside of the len itself. (MORE)
The Canon Rebel film bodies use the EF mount lenses. All modern Canon EOS cameras, including all digital EOS cameras will also accept EF mount lense. The EF and EF-S lenses …are compatible with the Rebel series. However, the lenses that typically come with a Rebel (EF-S) are compatible only with Canon cameras that have a 1.6 crop factor. Cameras with the 1.3 or no crop feature will not accept the EF-S lenses. The lens mounts deeper than the mirror will tolerate. (MORE)
A Nikon Lens will not fit on a Canon camera. Edit: All camera brands have their own bayonet, so they won't be able to take lenses from other brands, but if for example you w…anted to put a Nikon lens on a Canon camera, there are adapters for that. There are also third-party lens makers (Sigma, Tamron, Tokina, ...), who make lenses for many camera brands. (MORE)