With a JEE Main rank of around 6 lakh, getting B.Tech in Computer Science (CSE) in NITs, IIITs, or GFTIs through JoSAA is very unlikely, even with reservation.

However, you can still get CSE in some private engineering colleges or state-level colleges that either accept low JEE ranks or conduct their own counselling. Some newer or less competitive private colleges may offer CSE under management or spot rounds. If you're open to paying higher fees or considering tier-3 colleges, you can still pursue CSE.

So yes, you may get CSE, but not in top government colleges with this rank.