Hello Aditya, 

Yes, it is possible to do both simultaneously. Every year a lot of students opt for CA/CS with their graduation particularly B.Com. The main reason for this is that most of the syllabus of CA/CS match with the syllabus of graduation.

Some subjects are common like law, taxation, financial management etc. 

And one more benefit to the CA/CS candidates that they are exempted from attempting colleges regularly. So you can opt for both for sure.

All the best.