There is no reason why you could not. All the required elements are still in place. It might cook a bit unevenly because the food would likely be bouncing off the inside of the microwave, but it'll still heat up.

It wouldn't turn out the way you want.

So, the whole thing about a microwave is it is exciting the water particles in the food. On Earth, gravity keeps the water from spreading out, but in space, it wouldn't, so a microwave would just rip the food apart. (that is my theory at least).

Microwaves travel quite happily in space

(unlike sound waves - in space no-one can hear you scream - remember?)

Your food / experiment / whatever would be heated as usual.

The turntable would float around without gravity, so you would have to glue that on, and glue the food to the turntable, if you wanted vaguely even heating.

Give it a try!

YES, if you find a way operate the oven with the door open without stopping the microwave produce from oven. As soon as the door is opened and it still running, 1000W microwave power escape from oven and emitting into space near by. I am afraid you are the first one being cooked by it especially the eye balls.

Yes. uW energy travels through a vacuum very nicely like the radio and TV signals to and from the Moon, Mars and Snoopy...no wait Pluto!

Yes

Well, the other answers are most likely right, but they miss the most important part. You're going to need a loooooooooooooooooooooong cord.........;<}

yes!!!!!