An API that connects multiple Microsoft services, enabling data access and automation across platforms
No, Graph has very limited support for Exchange scenarios, and enumerating permissions is not one of them. The best you can do with it is leverage the recently introduced "admin API", which effectively allows you to run the Get-MailboxFolderPermission cmdlet, but that only covers folder-level permissions, and not Full Access ones. Here's the relevant documentation: https://learn.microsoft.com/en-us/exchange/reference/admin-api-get-started
And my take on the API: https://michev.info/blog/post/7142/quick-look-at-the-new-exchange-admin-api-additions
A better solution would be to leverage the Exchange Online PowerShell cmdlets directly, or the underlying REST API that powers them on the backend. You will need an application with Exchange.Manage permissions for this however, and a dependence on the ExO PowerShell module. The "raw" API is another alternative, but it is not officially supported. Just in case, here's how to leverage it: https://michev.info/blog/post/5822/all-you-need-to-know-about-exchange-online-admin-api-or-how-to-run-cmdlets-without-powershell