Yes, sure. Australia and, increasingly, the U.K. are examples of countries that have crown copyright and have not amended the law to eliminate crown copyright. Instead they are moving toward a licensed approach whereby they would use an open licence associated with crown copyright documents.
Government would retain crown copyright in those works, but would ensure that the public has the ability to use and reuse those works freely and without the need for prior permission, because that would come attached as part of the licence.