Can I submit an unofficial TOEFL score report if the official one won't be received by the university before the deadline?
In my experience, universities don't have a deadline for official scores. They do however have a deadline for when you should have taken the exam. If you took the exam before the deadline, they either know that the scores will arrive before they actually start reviewing your application, or they don't consider the scores until later in the process. You can always contact them and ask if they would like an unofficial score report, but if you took the exam before the deadline it will not be a problem.