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I'm not sure anything after the event horizon right? Since no light == no information.

Can magnetic fields escape, if their lines intersect the event horizon of a black hole?

No, a classic GR black hole does not have its own magnetic field. It can have electric charge, along with mass and spin, but that's it.

There is a somewhat fringe alternative idea called a MECO, which can have a magnetic field. Unlike some of the other fringe black hole alternatives, this one at least produces falsifiable predictions.

I suppose what I meant to have asked was, can an external magnetic field intersect with a black hole's event horizon and then escape?

For instance, with these theoretical tiny black holes, what would happen if you held a powerful magnet close enough for the lines of flux to actually intersect the event horizon?

I think not because light is also a field.

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