No, the law does not support it. Now, even in civil cases, unless both parties agree that the lawyer's fee shall be paid by the defaulting party, the general court will not rule that the lawyer's fee shall be paid by the losing party. This is because the lawyer's service is high-end, the lawyer's fee is often high, and there may even be the possibility that the lawyer and the winning party collude to raise the lawyer's fee, so it is unfair to let the losing party pay the other party's lawyer's fee. In a criminal case, as a victim, he can claim compensation for his own losses, and he can file a civil lawsuit incidental to the criminal case or file a separate lawsuit, but there is no basis for asking the other party to pay the lawyer's fee.
Article 99 of the Criminal Procedure Law: If the victim suffers material losses due to the defendant's criminal behavior, he has the right to file an incidental civil action in the course of criminal proceedings. If the victim dies or loses his capacity for civil conduct, his legal representative and close relatives have the right to file an incidental civil action.
If state property or collective property suffers losses, the people's procuratorate may bring an incidental civil action when it brings a public prosecution.