Can the state prosecutor subpoena a defendant's lawyer to testify against him?

Ordinarily, and in most instances, the answer is No. Communications between a lawyer and client are confidential and privileged. This means that your lawyer cannot disclose them to anyone else. In addition, the lawyer's Code of Professional Responsibility requires a lawyer to preserve a client's secrets and confidences. There are some exceptions. You can voluntarily give up the privilege. If you allow a third person to be present during your discussions, the privilege may be considered waived. And if you tell your lawyer about plans to commit a future crime, the privilege doesn't apply. It is very unusual for a prosecutor to subpoena a defendant's lawyer to testify against the client. I highly recommend you consult with new counsel to determine if this is proper and if you have grounds to object.