Yes you can get admission in BMS college of Architecture, there is a little chance, not very high, but still there. You must also keep your other options open and think of other colleges too, just in case you do not get selected. Try for multiple colleges and you will get the best according to your merit. All the best!

Hello,

Sorry to say but your chances of getting into BMS College of Architecture are negligible. Because the NATA cutoff of this college according to all india ranks are below 200-250 including reservations. And your all India rank is 4357. 

But you have a good score and can apply for many different colleges and can easily get seats in some other colleges.