NIFT

Yes, you can definitely make a career in fashion after doing engineering. Who says you can't? If you think again for a second, you will realize how hand in hand fashion and engineering go. What is fashion, if not newer innovation of trends and technology related to it. If you feel passionate about designing and fashion, you should definitely go for it. Now comes the part about how to go about it. Here it is:
If you want to go for design, there are a whole lot of options that you can explore. You can look into Fashion Design, Apparel Design, Jewelry Design, Interior Design, Fashion Communication, Fashion Technology, Fashion Management, etc. Check this link for more information on these courses: Make Career in Design, Design guide, Design Institute in Delhi
There are courses available in NIFT and other reputed institutes in the above domains. Try and research more about it. Some will provide you with a Bachelor's degree, but at this time I would suggest you to do a Masters in fashion management/Diploma in Fashion management/Fashion Communication. Since you have an engineering background, I would suggest you to look at design courses in NID, their curriculum and eligibility. If you can manage to crack their Masters level entrances, it would prove to be a huge boost for your career in fashion. Lastly, I hope you have thought about your choice regarding choosing the field of fashion, because after this level (postgraduate), it would be very difficult for you to change your field again.

Hi Priti,
NIFT provide the following courses:-
B. Design (Fashion Design)- A flagship program of NIFT, the Fashion Design program has played an influential role in the growth of the Indian fashion industry. In the 3 decades of its existence the graduates of the department have had remarkable presence in the Indian as well as global fashion scenarios. The curriculum hones a design sensitization that balances global fashion aesthetics with an Indian soul. It addresses the needs of the export market as well as both couture and pret-a-porter in India. Holistic inputs on generic design with focused approach towards apparel inculcates the ability to develop and channelize creativity. A logical, sequential hands-on experience enables students to conceptualize design, make patterns, drape and construct garments of impeccable quality.
B. Design (leather Design)- The Leather Design Program at NIFT is unique in its structure and application to the Fashion, Footwear and Accessories Industry. Initially focussed on leather products, in tune with changing times the programme now encompasses the areas of Fashion goods, Personal Lifestyle accessories and Footwear across the four campusesof Chennai, Kolkata, New Delhi and Raebareli.Emphasis is laid on the integration of design concepts with material knowledge. A multidisciplinary approach and exposure to the industry through field trips, tannery training, Craft Cluster programs, Industry internship and Graduation Projects are an integral part of the curriculum whereby students explore and innovate with materials, Techniques, Forms and components.
B. Design (Accesory Design)- Accessories are personal objects, that relate functionally, conceptually and aesthetically to people and their environment. The course involves exploring, processing and experimenting with thoughts, ideas & materials in order to establish a platform for new ideas and a powerful personal expression.The programs adopt a spectrum of knowledge transaction methods which include lectures, Projects (studio, live & collaborative), Group work, Field trips (traditional & contemporary), Self-study, Presentations & reflections. Students are immersed in traditional craft techniques as well as the use of smart digital tools. By the end of the course, the student will have in-depth knowledge, both practical and theoretical, of the fashion accessory design process and a clear understanding of the broader cultural and social context of design.