Yes cooking rice in the microwave is very safe to do so.
I cook my rice in the microwave all the time and have done so for years without any health problems or any problems with the rice.
I find that the rice cooked in the microwave tastes just as good as it does when cooked on the stove but with the microwave it cooks much faster than on the stove.
It takes me 15 minutes to cook the rice in a bowl in the microwave.