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Assuming you're never going to use it then yes.
I did it in a few spots here (green lines) for power, network and speaker cables.
Used a 20mm bit for the bottom ones and 10mm for those just carrying speaker wire. Put some conduit in the 20mm ones to make it smoother to shove stuff through.
Not sure of thickness, something upwards of 250mm I think.
Seem to remember I fished it through with a combination of rigid wire (earth cable I think) which I hooked with a coat hanger and taped the wire to the earth.
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I'm trying to get a speaker cable from one side of my brick fireplace to the other; can I drill right through? How thick will it likely be (Victorian terrace)? If I have a hole in the left and right side, how do I fish a cable through? There's a cast iron fire still in place and I don't know how much access I'll have.