Yes - but which form a speaker would use depends on the conversation:
I was bitten by a dog three days ago.
I am emphasizing that some dog bit me, and then say when.
2) I was bitten three days ago by a dog.
Here, the speaker is emphasizing the time component. So, in real life, he might actually say, "
I was bitten three days ago by a dog, yesterday a cat scratches me, (=use of historical present) today I nearly got kicked by a horse. I'm not paranoid. People love me. It's the rest of the animal kingdom that's out to get me!
Say I've gone to the doctor with the bite wounds. I'm showing him the wounds, and he asks me, how did I get the wounds. I might reply:
I was bitten three days ago by a dog in our street, and the puncture holes seem to be infected.
Here I am emphasizing that they are an animal's bite, and that they occurred three days ago which is important for the doctor in terms of the progress or not of healing - maybe bite wounds look like that after three days and it's just part of the healing process - the doctor will know and be able to judge.