Can I shift from BBDNITM, Lucknow to any other UPTU university, like say IET or HBTI, in my second year of a B.Tech by lateral entry or some other method?

Well to be frank enough, it is not quite possible. Let's say for example if you got admission to one college like BBDNITM, Lucknow. Shifting to a UPTU university will be tougher for you. 

You have to go through the UPSEE exam to get admission to a government engineering college. There is an exam for lateral entries of the students but at least for appearing in that exam, you must be graduated.

Here I have briefly differentiated both the colleges that you have mentioned in your question :

A lot of well-reputed companies participate in the placement process of IET Lucknow. But at BBDNITM mostly mass recruiters like TCS come, offering a salary package ranging from 2-3.5 LPA. The participating companies at IET Lucknow include Microsoft, KPMG, Capgemini, Accenture, HP, Deloitte, Morgan Stanley, TCS, Cognizant, Tech Mahindra, etc.