Is there a way to copy SharePoint 2010 list to SharePoint 2013
Including list items and workflows (SharePoint designer workflows)
No approval for third party migration tool.
Have a look on below given informative resources that might helps you to get this job done:
How to move or copy a SharePoint Designer 2010 List Workflow to another list on the same site or another site.
http://blog.karstein-consulting.com/2011/02/10/walkthrough-how-to-move-or-copy-a-sharepoint-designer-2010-list-workflow-to-another-list-on-the-same-site-or-another-site/
Copying/Moving SharePoint 2010 Designer Workflows
Guide to Migrate from SharePoint 2010 to SharePoint 2013 along with metadata and workflows:
http://www.lepide.com/blog/step-by-step-guide-to-migrate-from-sharepoint-2010-to-sharepoint-2013/
Migrating SharePoint Workflows from 2010 to 2013 and Beyond:
http://sharepointpromag.com/sharepoint-2013/migrating-sharepoint-workflows-2010-2013-and-beyond
Hope this helps!
