Hello Aspirant,

Yes, you can still take the annual  exam next year without taking the admit card or improvement exam this year. The improvement exam is optional and only serves to raise your score from last year - not taking it has no impact on your eligibility for future regular exams as long as you complete all your attendance obligations and register with the institution for the next academic session. At the end of the day, it is always best to check directly with your school/university for the proper procedures.