B.Des

B.Des eligibility criteria of NIFT is given below.
1. Qualifying Age: Maximum age should be 23 years as on 1st October, 2019. The upper age limit may be relaxed by a period of 5 (five) years for candidates of Scheduled Caste/Scheduled Tribe/ Person with Disability (PWD) categories.
2. Educational qualification for Bachelor of Design (B.Des) Programmes (Fashion Design / Leather Design / Accessory Design / Textile Design / Knitwear Design / Fashion Communication) : The +2 level examination in the 10+2 pattern of examination of any recognized Central/State Board of Secondary Examination, such as Central Board of Secondary Education / State Board New Delhi, and Council for Indian School of Certificate Examination, New Delhi.
So from above age criteria is very important. The Gap of 5 years after 12th is not a big issue because you have completed your graduation during this period. So you can be eligible if meeting the age criteria as above.
Further you are also eligible for M.Des course of NIFT because there is no age restriction for M.Des course. While the eligibility criteria is Graduation in any discipline. The admission in M.Des are also done through NIFT entrance exam.

If you are asking about NIFT's B.Des and B.FTech courses, than the eligibility criteria for both of courses are different. B. Des requires 10+2 in any stream while B.FTech needs 10+2 with PCM. B. Des courses are available in following domains as Fashion Design / Leather Design / Accessory Design / Textile Design / Knitwear Design / Fashion Communication. While B.FTech is related to apparel production includes manufacturing technology, information technology, quality management, artificial intelligence etc. The course introduces students to the fundamentals governing aesthetic and design elements and the fundamentals of management. It imparts extensive knowledge of raw materials including fabrics and trims and of machinery involved in the manufacturing of apparels. Students develop understanding of production planning, merchandising, work study and quality control which provide essential operational knowledge relating to future work profiles. The total number of seats is also an important factor because B.Des courses have a total number of 2862 seats in India, where as B.FTech have 518 only. So you may choose your course as per your interest. Both course (B. Des and B.FTech are in demands if done from a reputed institute. However, my choice is B.FTech.