Yes, there is a B.Com with chartered accountancy course at St Joseph College of Commerce Bangalore.

You can do your CA along with your B.Com. The college calls it the B.Com Professional. You will have the option of Morning Batch which becomes easy to concentrate on both the degree and CA. You can also take up ACCA along with B.Com there. 

The Chartered Accountancy (CA) course at St. Joseph’s College Bangalore has an intake of 311 students.