No, whoever puts forward the appraisal is allowed to pay the appraisal fee. The basic principle of civil litigation is who advocates who gives evidence. Since you claim that the signature is false, you must produce evidence to prove your claim. The court also decides who will pay the appraisal fee according to this principle. You can also add the appraisal fee to the litigation request before the court session. If the case is finally won, the other party will get the appraisal fee. If you lose the case, the appraisal fee should be paid by yourself.