Of course you can, if your marks in Maths and Aptitude compensate for your drawing skills. If you score 250+ out of 390 in general category, then you have a good chance to get into NITs.
Aptitude questions 50 x 4 = 200 marks
Mathematics questions 30 x 4 = 120 marks
Drawing questions 2 x 70 = 140 marks
If you get 250 marks in any combination above, then rest assured that you will be qualified for admission.
Tentative date for JEE paper 2 results is May 15, so feel free to ask any other doubts on QnA.