Yes. Electricity moves at the speed of light[0] and like light will be constant no matter your reference frame.
[0] the speed of light in a given material and conditions. Generally it's a good fraction slower than light, but remember that light also moves slower through different materials.
Not sure why you're getting downvoted, this is an important point. The speed of light that is a constant is c. The actual (average) speed that light travels through a material is not a limit of any kind, and it is very possible for other particles to move through that medium faster than light. For example, Cherenkov radiation is high energy electrons moving faster than light through water (not faster than c).
Of course, what actually happens is that photons always move with speed c, but the path they take through a medium is not straight - they "bump" into other particles, so it takes them longer to reach the end. Higher energy particles can have straighter paths (they "push bumps away"), so that even if their instantaneous speed is always lower than the photons', they take less total time to move through the material.
[0] the speed of light in a given material and conditions. Generally it's a good fraction slower than light, but remember that light also moves slower through different materials.