Yes. You have either Full or Folder Access.
- Full Access permission allows a user to open the shared mailbox from his/her account and act as the owner of that mailbox. While accessing the shared mailbox, the user can:
- Create calendar items
- Read, view, delete, and change email messages
- Create tasks and calendar contacts
However, a user with Full Access permission can't send email from the shared mailbox unless they also have Send As or Send on Behalf permission.
Note: Only an O365 administrator can assign Full Access to an individual user.
- Folder Access, account owners or others with Full Access can:
- Share folders
- Calendars
- Contacts
- Assign permissions as necessary