The straightforward answer is No. You can not run Oracle Database on MAC OS.

Oracle Database is a relational database management system (RDBMS) that stores data in tables and other objects. Oracle Database can run on Windows, Linux, and UNIX operating systems.

The database runs as a service on the operating system it’s installed on. This allows you to access the database from many different places in your organization. For example, the database can be accessed using a web front end from a remote location or mobile device.

But using Virutal Machine it can be run on MAC. Check this article to know more.