Science

NITs are the premier engineering institutes in India. NIT Calicut is one these NITs and is pretty well known all over India. According to the National Institute ranking framework it stands at 44th rank among all the engineering colleges in India.
For engineering physics out of 12 students who enrolled for placements only 2 were placed. One got a salary of 4.5 LPA and other got a salary of 4.2 LPA making the average salary 4.35 LPA as such. You should know that Engineering physics is mainly a research based branch so placements are ought to be less as compared to other branches.
For placement report visit first link in search results-
https://www.google.co.in/search?rlz=1C1CHBD_enIN726IN726&q=nit+calicut+placements+pdf&oq=nit+calicut+placements+pdf&gs_l=psy-ab.3.2752.4057.2.5490.6.6.0.0.0.0.0.0.0.0.0.1.1.64.psy-ab.6.0.0.0.rU7Ax-tnpbg

Hi,
I'm assuming that you're already a Biotech student at NSIT. So, the option of switching to COE/IT or related courses is out of reach.
Do biotech students get time for other activities?
Well, that's up to you. No engineering course is so intense that will keep you engaged all the time. The amount of time you can take out for other activities (e.g. programming, at it seems, in your case) is completely in your hands.
A major portion of students get placed in software related profiles (irrespective of their branch). That is good enough indicator of the coding atmosphere in NSIT. There are a number of platforms through which you can enhance your programming skills:
1) Periodic sessions conducted by societies like IEEE, CSI, etc.
2) Facebook groups
3) On the personal front, use challenges at Codechef, SPOJ, etc.
Other than this, you can obviously get in touch with your peers and seniors for guidance.
I don't have enough information to compare between the coding environment of DTU and NSIT.
Regarding NSIT's placement for Biotech in COE/IT related profiles, I suggest you get in touch with your 4th-year biotech seniors and/or students at Placecomm.
All the best.