The delivery side HR1 provides about 10 corrections, of which no one is looking or changing the way they are published. Thus, it will follow that you can update CM without (yet) updating the CD.
However, in order to remain fully supported, you must make sure that the gap between CM and CD updates is minimal and needs to be closed (often forgotten about this). Emerging problems may not be supported if support is not supported (in advance) with the update process.
I would also advise you to do this first in a test or development environment to ensure that CD-side publishing and rendering work when CM HR1 and CD are not.
Julian Wraith
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