Does the software support migration of mailboxes from On- premise exchange 2010 to Off.365 in the same domain?

The software is capable of migrating mailboxes from On- premise exchange to O365. Just make sure that the target O365 is a global admin and has a mailbox created for it in O365. 

Also, make sure that you are able to create an online profile for both source and target user in outlook from which you have created the job.