ESI & PF KYC vs New Job

It's not advisable to do that.
If you change job, than your ESIC and PF account also got transferred to your new employee, if not withdrawn...So, in future it's possible that new company comes to know that and create problems at that time.

My hr said no problem.
if possible please share some screenshots

Doing fack/wrong thing is not advisable at any time for any thing.
If you want to get higher CTC as compared to current CTC, than you have to Increase your Performance, ability, knowledge, Dedication, experience ect. to successed in long run.

If after this also you want to furnish fake certificate, fake salary slip, if fake bank statement for salary if ask by interviewer ect to got higher CTC, than you can do that.
As regards PF , ESIC is concerned, you can close that and make withdrawal. So, after that there is no problem.

But, after getting new job, Your increment, promotion or even in some company staying with Company ect is depends upon a your Performance, ability, knowledge, Dedication, experience ect.

So, if your are planning for long run with new job, than don't do than.... otherwise you can, As per your choice.