My best friend was in the science stream and took admission as a B.Tech student in IIT Kharagpur, but afterward, he prepared for Law for 3 months and got through. He's an advocate today.
It is absolutely possible to prepare for the exam in such a short period. Just maintain the balance and if you could, devote more time for preparation. Strategic time management and discipline are what you need.
Work on the derivations in Physics and concepts. Read current affairs in between and this will be a good way to work in balance.