Yes, You can easily export Outlook Mac file to PST without any installation of Outlook.
The Pro version of OLM to PST Exporter does not impose any limitation on OLM for migration but there are certain restrictions on demo version. You can only export 25 Items per folder using demo version of Outlook Mac exporter
No, You cannot use OLM to PST Converter on Mac Machine. OLM to PST Conversion tool is totally Window based application software and works only on Windows Operating System.