the speed of electricity is fairly slow, only a couple of millimetres a second if I recall correctly.
The speed that a electromagnetic wave propagates along a wire is about 99.9% of the speed of light. but the actual electrons are still moving fairly slow.
Imagine a hosepipe full of marbles...... if you slowly pushed more marbles into one end the ones the other end would pop out instantly but the actual marbles would be moving very slowly
and yes in the same way as light takes time to travel so does electricity, so in theory if you had two light bulbs on different length wires one will light after the othe. Butr the length of wire needed to make a difference that is noticeable would be huge!
m27 my answers are correct and sensible replies for a question in science, not just rambling drivel.
if you'd care to post a back catalogue of your factual and helpful answers I'd be happy to review them for comment. Sorry to ask you this but they must have passed me by