Yes, certainly. The court only forbids the arrest but does not prevent police from calling the accused for investigation. Infact, invariably it is one of the conditions of the anticipatory bail that the accused shall make himself available for investigation as and when required by the investigating officer.
Refusal to do so may entitle the investigating officer to move the court for cancellation of anticipatory bail. In case the investigating officer finds that a criminal case is made out against an accused granted anticipatory bail by the court, he will not arrest him but will release him on bail, even if the offence is non-bailable. Is it an offence to register false FIR? Making any kind of false complaint including the FIR is a punishable offence in the Indian Penal Code.
One should never resort to lodging a false complaint to the police in order to harass someone. This act is not only punishable but the complainant himself will have to undergo the harassment of facing a trial in the court.