I completed my btech in 2017 and after I go through bank coaching and I'm failed, now I want to join in VLSI training institute Am I eligible?

              I like your thought process. At least now you realize to enter into core electronics. I appreciated for you are looking into VLSI domain. Any way let's talk about field. There are two things, 1. Front end 2. Back end.

First select either of one.

You can find best institutions in online.

And of course you are eligible for VLSI if you are coming from ECE,EMI,CSE(partially) and EEE etc,.. academics should have digital electronics and VLSI subjects.