Yes, AIIMS MBBS graduates are eligible to take admission in state quota seats through the NEET PG exam. The NEET PG exam is a national-level entrance exam for admission to postgraduate medical courses in India, and AIIMS MBBS graduates are required to appear for this exam to be considered for admission to postgraduate medical courses, including state quota seats.

To take admission in state quota seats through NEET PG, AIIMS MBBS graduates must meet the eligibility criteria specified by the respective state's regulations and policies. In addition to clearing the NEET PG exam, they may also be required to fulfill other eligibility criteria such as domicile requirements, educational qualifications, and reservation policies as per the state's guidelines.

Therefore, AIIMS MBBS graduates interested in taking admission to state quota seats through NEET PG should carefully review the eligibility criteria and admission process specified by the state they are interested in applying to.