Wyo. Stat. § 31-9-203 (2026)

(a) The requirements as to security and suspension in W.S.
31-9-202 shall not apply:

          (i) To the driver or the owner of a motor vehicle
involved in an accident wherein no injury or damage was caused
to the person or property of anyone other than the driver or
owner;

          (ii) To the driver or the owner of a motor vehicle
legally parked at the time of the accident;

          (iii) To the owner of a motor vehicle if at the time
of the accident the vehicle was being driven without his
permission, express or implied, or was parked by a person who
had been driving the motor vehicle without permission;
          (iv) If, prior to the date that the division would
otherwise suspend license and registration or nonresident's
operating privilege under W.S. 31-9-202, there shall be filed
with the division satisfactory evidence that the person who
would otherwise have to file security has been released from
liability or been finally adjudicated not to be liable or has
executed a warrant for confession of judgment, payable in
installments as the parties have agreed, or has executed a duly
acknowledged written agreement providing for the payment of an
agreed amount in installments, with respect to all claims for
injuries or damages resulting from the accident.