Yes. Article 16 of the Saudi Law of Criminal Procedure allows the victim — or their representative — to initiate a criminal action in cases involving a private right. You do not need to wait for the Bureau of Investigation and Public Prosecution to act on your behalf; you can actively pursue the case before the competent court yourself.
However, for crimes that specifically involve private rights (as opposed to purely public offenses), Article 17 states that no criminal investigation can even begin without a formal complaint from the victim or their authorized representative. This means that if you are a victim, your complaint is not just a formality — it may be the necessary trigger for the entire investigation to start.
As an expat victim, you should file your complaint at the nearest police station or through the Bureau of Investigation and Public Prosecution. Bring identification, any evidence you have (photos, documents, witness details), and consider hiring a local attorney to help navigate the process. Be aware that under Article 18, if there is any conflict of interest between you and your representative, the court can remove that representative and appoint another — so choose your legal representative carefully.
This is general legal information, not legal advice. For advice on your specific situation, consult a lawyer licensed in Saudi Arabia.