Yes you can apply for Bachelor of Business Administration in various colleges and Universities of India after completing your 12th class from National Institute of Open schooling. This is because National Institute of Open schooling is a recognised board which comes under central government. Mention below are the name of the some popular Bachelor of Business Administration colleges:

• Shahid Sukhdev College of business studies
• Mount Carmel College
• Madras Christian College
• Presidency College
• Loyola College
• Kristu jayanti College
• Aditya college
• Saint Stephen College of Commerce

Read more about Bachelor of Business Administration colleges:

https://www.google.com/url?sa=t&source=web&rct=j&url=https://bschool.careers360.com/colleges/list-of-bba-colleges-in-india&ved=2ahUKEwiIwo6Xpo33AhWvS2wGHb3NA1sQFnoECBEQAQ&usg=AOvVaw1aCukEaVwzEgUL7Du8QVee