Yes, you can appeal a family law arbitration award to an appellate arbitrator or panel.
The parties can select their appellate arbitrator in the consent order or agreement to arbitrate, along with the timelines for seeking appellate review, and the standard of review. The appellate review can be as broad or narrow in scope as the parties agree.
Additional levels of review by the trial court can also be written into consent orders or agreements to arbitrate. However, if the appellate division of the superior court does not have jurisdiction, such jurisdiction cannot be conferred by private agreement of the parties. See Hogoboom v. Hogoboom, 393 N.J.Super. 509 (App.Div. 2007).