Her parents can file a false case of kidnapping against you. However, as both of you have attained the age of majority there is no legal action which the police can take against you if the girl gives a statement to the police that she has come out with you with her own free will.
As it is common knowledge that police in India ranks amongst the most corrupt government departments the possibility of cops colluding with the parents of your girl friend cannot outright be rejected. In order to protect your rights you may move the HC to seek protection from any kind of harassment by the police and/or the parents of your lover. If such an order is passed by the HC the police will not even think of violating your legal rights.