Would a Faraday Cage protect something from an EMP?

$\begingroup$

Assume that terrorists manage to detonate an EMP in the middle of the United States. Its range is long enough for the pulse to hit and effectively render useless all unprotected hardware.

Let's assume that this is a casual buyer and decides just to wrap it in aluminum foil. As for the strength of the pulse, how about lets have be the average strength of the EMP generated by a standard size nuke.

For example, an E1 kind of EMP could create a pulse with strength of up to 1 MeV (million electron volts)

Background information: Depending on the size of the gaps in the cage, a Faraday cage can shield an object inside of it from radiation all over the spectrum. If the object is not touching the cage, the object will be sheilded.*

Could a faraday cage protect electronics from an EMP? Could a stronger EMP still damage the electronics within the cage?