The answer is yes and no. The coffee maker is used to make something that you take in your mouth and bleach is known to be toxic for ingestion. There may also be some coffee makers that can sustain some damage when cleaned with bleach.
Having said that, bleach is a good germicidal, unlike other cleaning agents. If you want to get rid of the bacteria, fungi, and molds that may be housed in your coffee maker, bleach is very effective.
So, if you want to go ahead and use bleach, use it correctly. Dilute it heavily and learn how to effectively flush it out from your coffee machine.