Yes, you can operate a business opportunity part-time. Many entrepreneurs start their businesses on a part-time basis with a full-time job. Enabling them to test the waters and build their business gradually while still having a steady income.
However, operating a part-time business comes has its own challenges and limitations. Like, limited time to work on business, managing full-time work and part-time work efficiently, not all businesses can be operated part-time, etc.