Do all versions of 365 support importing PST files from Outlook desktop?

I wish to migrate email from Outlook / Office Pro 2013 to Office 365.  I am hopeful the version I select can support both an Outlook email address as well as non-microsoft email such as gmail.

I have one Outlook email address and two additional non-Outlook addresses which I wish to be able to access and send email from using Office 365.

Regarding the Outlook email account, I wish to export the PST file from the desktop version and import the Office 365.  I am not certain all versions of Office 365 offer that capability and I am hopeful someone(s) will share their wisdom to this neophyte.

Is this outcome achievable?