No, 27 isn’t too late to join NITIE. Usually, NITIE PGDIE batch profiles include people with ages 22-30. You won’t be treated any differently by the faculty or recruiters because of your age.
NITIE placement trends show that experienced students usually have a better chance at Ecommerce, Finance, Manufacturing, and Consulting companies. Naturally, there are exceptions.
A few of my friends graduated from NITIE and having read online reviews here are some information regarding your question.
The most important thing that matters is your knowledge, academic scores, experience, talent, skills, and interests. Your age will not be an obstacle in your career. So do not worry about being 27. Go ahead and join NITIE.