No, I do not see a possibility to establish multiple Read Write sessions for a single administrator. When you try to make another session then you are offered to either Take over the existing one (it will be disconnected first) or to create a new Read Only session.
What is new in R80.10: from Manage & Settings > View Sessions you can take over a session of a different administrator and even a Web API session. Your current session will be closed and the other will be assigned to you as an administrator.
From my experience with API + SmartConsole there are possible problems with multiple Read Write sessions. For example when you create objects with the same name then after publishing you will not receive any warning and there will be multiple objects with the same name. Unfortunately the SmartConsole and other parts are not completely prepared for this situation so currently it is best to limit the parallel sessions with unpublished changes.