SQL Server: Can I log ship from SQL Server 2014 --> 2016?
You can always log ship UP as it's a basic supported upgrade process.  you can't log ship DOWN.  The question you might be concerned with is how do you roll back and not lose data if you need to go back to 2014 as you can't restore 2016 DBs to 2014.  You will need to setup a process to get the data in sync such as replication, red gate data compare, etc.