Thanks for your post.
Yes you can do that by using 'Smart Rename' functionality of SQL Refactor.
In Screen 1 of 'Smart rename wizard' where you can specify the new name instead of doing that you change the 'Schema' and proceed with the wizard and it will generate the update script for you.
Let me know if this answers your question and solves the purpose.
For more information on Smart rename functionality go through this article: Click Here