Yeah! You can obviously go for the PhD course if you are a Integrated MSc student. You need to qualify the entrances for the PhD program based on your subject. Some of the top PhD entrances are provided below:

• CSIR NET
• UGC NET
• JEST
• TIFR GS

To know more about PhD visit the link below:

https://www.careers360.com/courses/ph-d-doctor-of-philosophy

I hope this answer helps. All the very best for your future endeavors!