Electromagnetic coupling between two coils
Despite the title, it seems you are really only asking about magnetic coupling.

Basically, you want the two coils to work like a transformer.  That could be doable, depending on how much the magnetic field extends outside the physical volume of these coils.  If these are "shielded" inductors, for example, then they are deliberately designed to contain most of the magnetic field inside.  Two such devices would work poorly as a transformer.

If you really want to transfer power from one coil to another, then get a transformer or make one yourself.  These have both coils wound around the same magnetic core.  Ideally, the magnetic fields of both coils overlap completely.

As for what to do with the second coil, consider it the secondary of a transformer, since it is.  Its common mode voltage can float with respect to your ground.  This is only limited by the insulation between the coils.  The circuit connected to the secondary can be completely isolated from your ground.  For example, you can connect a battery-operated voltmeter across the secondary to measure the open-circuit AC voltage.