No, Managed Service Accounts are not supported for the following reasons:
1. Archive Manager documentation recommends to create service accounts and grant all required permissions before installing Archive Manager.
2. AM may reset the password if using Managed Service Accounts.
What that means is Archive Manager would have to save the password. In order to reduce security concerns, Archive Manager does not save passwords.
3. In most Managed service accounts scenarios the Administrator may not know the password. If the Administrator resets the password in Active Directory for any reason, Archive Manager services will run into the exception due to an invalid password.