AB

Anticipatory Bail prevents arrest, but does not in any way prevent lodging of FIR. YOu can still file an FIR or if the police refuse to file an FIR, you can directly approach the Judicial Magistrate First Class in your jurisdiction with a private complaint. If he is satisfied with your case, he will direct the police to file an FIR and investigate the case.

nothing left to add,

AB can be filed even without FIR, AB can be filed on apprehension of arrest.