Don't know for sure but I have a feeling you won't have your place at the college confirmed by 1st Sept. What is the harm in applying for NATS while starting your Uni course?
Your interviews only take 1 day each & are staggered so by missing the odd day at uni, it isn't going to cause you lots of harm. If you fail then you are already at uni & can carry on your studies, If you pass then you have a choice to make.......