you will have to write your own custom process but you can log ship to a higher version, You will have to leave the database in norecovery mode, the standby option will not be available.
I would not do this for any other reason than reducing the outage time when upgrading a database onto a new server (side by side upgrade). As a setup its no use for a reporting server and if for DR or HA your failover server should be the same version as the primary.
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