I don't think so. As candidates are selected on basis of BITSAT score for Msc and BE courses.

And one cannot appear in BITSAT after one year of your Intermediate exam.

They teach both Bsc and Msc courses together in 4 years As far as i researched. But you will get only Msc degree.

But you can do Msc course + BE course together under dual degree scheme. You will get both engineering and Msc degrees in 5 years.

Hope this will help.

Thankyou and Best of luck .