Hello Aspirant

No it's not possible for a BHMS graduate to apply for DGO.

But after BHMS you can still seek employment in government health care units,medical colleges,voluntary organization etc.

Courses that you can further pursue are Msc Anantomy,Msc Dental Materials,

You can also get into clinical research line.

You can also train yourself under a Gynaecologist  and gain exoerience.

Regards!