Yes you can take admission in IIT Bombay M.Des program with Professional Diploma of NID , as its admission criteria is given below :

Product Design at IDC:

Candidates must have obtained a Valid CEED Score
They must have passed a Bachelor's degree in Engineering / Architecture / Design/ Interior Design, or equivalent
Candidates with a Professional Diploma of NID/ Professional Diploma of CEPT (5 year program) or equivalent are also eligible
Candidates must have obtained a minimum of 55% marks or equivalent grades (50% in case of SC/ST) to be eligible

Mobility and Vehicle Design at IDC:

Applicants must have obtained a Valid CEED Score
They must have passed a Bachelor's degree in Engineering / Architecture / Design/ Interior Design, or equivalent
Applicants with a Professional Diploma of NID/ Professional Diploma of CEPT (5 year program) or equivalent are also eligible
Applicants with a BFA - Professional course in Applied Arts/Fine Arts. (4 year Professional programme, after 10+2) are also eligible
Applicants must have obtained a minimum of 55% marks or equivalent grades (50% in case of SC/ST) to be eligible

Application Form Process:

You must download the hard copy of the application form
must fill the Application form, sign it and send it along with the specified enclosures to the following address along with the DD as specified above

Deputy Registrar (Academic),

Indian Institute of Technology Bombay,

Powai, Mumbai - 400076