Is it possible to install Primavera P6 Professional application on Mac computer?

The definitive answer is No. Oracle Primavera P6 Professional application is designed to work on Windows operating system and will not work on MacOS or any other operating system. 

Your options are:

1. Purchase a virtual Windows desktop from cloud infrastructure providers like Oracle, Microsoft, AWS and connect it with Windows app on Mac to install and run Primavera P6 Professional.
2. Use Oracle Primavera Cloud (OPC). OPC can be accessed by browsers and run on any computer OS.