Are channel ids inherently linked to node ids in the Lightning protocol?

Are channel ids inherently linked to node ids in the Lightning protocol?

I'm wondering if it is possible to shut down my node, change my node id, but persist my channels in the Lightning protocol. Is there an inherent limitation to the protocol that prevents this from happening? From looking from BOLT2 it seems like there isn't?

http://bit.ly/2DHcIio

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