How much rock is embedded in the polar ice sheets?

Watching “Voyage to the Bottom of the Sea”, the Van Allen belts catch fire (?) and the north pole starts to melt. They’re alerted to this by big chunks falling from above and bashing the submarine around.

I figured it was just bad script writing since ice chunks would float. However, they don’t identify what’s hitting the ship so maybe its big rocks released from the ice.

But, says I, where would they come from? There’s no land under the north pole to act as a source of rocks.

So, is there any data on this? Could there be big rocks showering on the Seaview?

Certainly there are some small rocks in the form of meteorites.

WAG: I suppose some rock might find its way into the ice sheet by way of glaciers > icebergs, if icebergs ever find their way into the ice sheet. I have no idea if that ever happens.

Not directly under the north pole, but I believe there are a few spots where glaciers run north from Greenland into the Arctic Ocean. But even then, I don’t think there’s usually enough rocks in a glacier for it to really shower down such that multiple chunks would hit a submarine even if it did melt all at once.