Oh dear lord NO! However to be truthful there are microwave recipes incorporating the same ingredients which requires constant attention and stirring. It won’t taste the same because it won’t have that wonderful caramelized taste. Once it is in the oven I only check it once to see if it needs any water.
You do realize you have to hand shred the cabbage if you are not using an appliance. I hope you are not thinking of flinging the whole head in the mic4owave.