Can magnetic fields go through electrical tape?

yes.

Aluminum is a very good electrical conductor. Magnetic fields go right through it.

Or do you mean electric insulation tape? That's plastic. It doesn't conduct electricity at all, and does absolutely nothing with a magnetic field....

Answer,

Magnetic fields are absorbed by good conductors and generate currents in them like in a transformer. Electrical tape or other plastics generally allow magnetic fields to pass straight through them depending on a quality called their Permeability.