you may use this construction, but it seems to be very heavy for such a common and easy sentence. Why don't you use Active voice? I haven't done my homework (,yet)

@ Jlag just simply say 1. I am already done with my homework 2. I made my home work already "cowboy"

Hello, The active form of this sentence should be: " I didn't do my (the) homework". The passive form would rather be: " The Homework (my homework) wasn't done " When you say "my homework" you don't need to write "by me" at the end ,it is implicit