Yes, BSc Anesthesia Technology course is available in  India. It is a 3-year full-time undergraduate degree course.  Though the basic eligibility is 10+2 with 45% in Physics, Chemistry and Biology, but you may need to clear entrance tests in few colleges.

Some colleges in India where this course is available are:

1. AIIMS, Delhi
2. AMU,UP
3. MGMIHS,Mumbai
4. IGMC,Shimla
5. AFMC,Pune(my personal favourite)

After completion, you my join job profiles like Anaesthesiologist Assistant, Certified Registered Nurse Anaesthetists ,Anesthesia Technician , Surgeons, Medical Consultant, Clinical Associate, Anaesthetist/Paediatricians and many more.