Yes and no.
If you're paying directly to your landlord then most likely it will work okay.
But if you're paying it to a main office for rent then it might not work as some places like that run your checks through a machine to automatically take funds out and I hear it doesn't work with bluebird checks.
Your landlord will need to physically take it to the bank to cash the check or deposit it.
So if your landlord doesn't do the machine where it takes funds out automatically then you will be good to go.