Hello,

Yes Sir you can work as a Software engineer once you complete your BSc. There is overlap the subjects  between as computer science engineering and BSC in computer science.

People looking for a candidate will more specifically look at the skill sets of the candidate applying for the job and the requirements of the job as long as you are well versed with your subject, course and have the required skills you can work as a software engineer.

I hope the information helps you .

All the best.