Can I get anticipatory bail for a non-bailable offence?

Yes, you can apply for anticipatory bail under Section 438 CrPC even for non-bailable offences. The court will consider factors like the nature and gravity of the offence, your criminal record (if any), flight risk, and the possibility of evidence tampering. It's advisable to apply as soon as you have reason to believe arrest is imminent.

I would add that the filing of an FIR is not a prerequisite for filing an anticipatory bail application. You can file it even before the FIR is registered. The Sessions Court or High Court has jurisdiction. However, for economic offences and serious crimes, courts are more reluctant.