No, none of these settings are configurable.
Since web maps open across different client applications and don't really have client specific settings stored in the web map, we could probably expose some settings on the arcgis.com application (maybe as part of your profile) so that whenever you open a map, it opens with the TOC and overview map showing. However, this setting would be associated with your profile for arcgis.com. If someone else were to open the map, the map would open according to their settings. Would this satisfy your needs?
Thanks,
Mike