Hello, 

Criteria varies like in this year for SBI Clerk, they specified final year students can apply provided they show the proof of having qualified at the prescribed date set by them. 

So, YES for sbi clerk. 

Now, coming to IBPS Clerk, this year official notification is yet to be out, although exams dates have been announced, as per last year notification, they strictly specified in their post a candidate to have completed  Graduation  to be eligible for exam. 

This same rule applies for IBPS RRB recruitment as well, which came out for this year.