Well yes, but it's incredibly complicated.
(A) Nikon, used to make lenses for broadcast (news) cameras. They were absolutely awesome... but Fuji, Canon, and Agneieux beat them out. They dropped out in the mid 90's. The glass inside a Nikon video lens was absolutely awesome... even today they're well sought after.
(B) For modern video cameras, there is an adaptor from the P+S company, that will allow you to use older (EF mount and Nikon F) lenses on smaller 3 Chip cameras (Panasonic DVX/HVX, Sony PD150/Z1u, etc.) or cameras like the Canon XL/H series, or JVC HD1/200 series. The adaptor has a glass screen, so that the image is flipped when captured by the chip (it's what a focus screen does for us, because naturally the image comes in upside down.)
There is another adaptor, the Letus and IIRC it is purely a mechanical adaptor, so images have to be flipped in post-production.
Both of the adaptor options are expensive, and probably not worth so unless you are in the video production business, producing high-quality 24P product.
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Which leads me to: The Canon XL/H series (XL1, XL1s, Xl2, HL1) have an available EF to
XL mount adapter, (XL being the type of mount these cameras use). Because the imaging chip is much smaller than a APS-C or FF chip, there is an amazing crop factor. Professional video cameras have chips ranging in size from 2/3" to 1/2". This is convenient for Canon, because they designed this feature, when designing the camera. There are also adaptors that will allow you to use Canon EF and FD lenses on 35mm film movie cameras, broadcast cameras... etc.
Long answer: yes you could but it's $$$.
Short answer: no.