Hi,
Yes, it's possible.
We can use User Account Migration Wizard to migrate users, then use Security Translation Wizard to change permission and assign original profile to new user.
We can refer to the steps in the following articles:
https://blog.thesysadmins.co.uk/admt-series-user-account-migration-wizard.html
https://blog.thesysadmins.co.uk/admt-series-10-security-translation-wizard-local-profiles.html
https://social.technet.microsoft.com/wiki/contents/articles/16798.admt.aspx
Best Regards,