No, that’s not appealable.

“The district court’s order to stay and administratively close [Appellant]’s case is not a final order for purposes of [Federal Arbitration Act] § 16(a)(3); the collateral order doctrine does not apply to orders concerning arbitration governed by the FAA; and § 1292(a)(3) is inapplicable to referrals to arbitration in admiralty cases that do not determine a party’s substantive rights or liabilities.” Psara Energy, Ltd. v. Advantage Arrow Shipping, LLC, No. 19-40071 (Jan. 9, 2020).