I don’t see this as feasible as any changes to the record will not cause other UI screens currently opened for other users to automatically update thus it could be assigned while you are looking at it though it was not assigned at the time you started viewing the record.
So, now I understand what you mean by Open and Close, you meant when a user has opened the document, not that the the support order has an open status. Two different things and I don’t feel this is possible.
No, these are not events in a way that the process flow can pick it up as the process flow relies on data changes to the database, not that you just started viewing a record or stopped viewing a record.