No. It's easy to produce hard vacuums in laboratories on earth, and it's easy to create and observe electrical and magnetic fields in these vacuums. For example, you can evacuate the space between the plates of a parallel-plate capacitor and then charge the capacitor... and there are many many more examples. Stuff like this was routine even back in the 19th century.[WARNING: The description below relies on an analogy. It will help you form an intuitive picture of what's going on, but if you want more than an intuitive "OK, I see how that could work" picture, you have to write down and solve the differential equations involved. If you try building on the analogy without checking it against the math, you'll probably be misled]
Let's go back to your very first post in this thread, the one in which you said that a pond lies flat if there is no wind. That's not quite right - even if there is no wind, you can toss a small pebble in the pond and ripples will propagate away from the point where the pebble splashed in. These ripples move horizontally across the surface even though the water itself is not moving horizontally (a cork floating on the surface will bob up and then down as the ripple passes by, but it won't be pushed sideways). Thus, those ripples have a propagation speed; it's the speed that they move across the surface of the water.
Now, if I have electrical and magnetic fields in a vacuum and I do something to disturb them, there will be ripples in these fields just as the disturbing the surface of the water with the tossed pebble created ripples. Just as the ripples in the surface of the water spread out from the point of disturbance at some speed, the ripples in the electrical and magnetic fields spread out from the point of disturbance at some speed... and that speed happens to be ##c##. The one difference that you have to keep in mind is that a horizontally moving ripple in water makes the vertical height of the water increase and decrease (the cork bobs up and down) as it passes by, while a ripple in the electrical and magnetic fields makes the field strength increase and decrease as it passes by.