Most certainly.  My bank is not a big anonymous one but a small local bank.  I know they will protect me when I can get face to face with them.  I've been on their advisory board.  The ability to have a big credit card company reverse a charge is much less sure.  In October I had an instance of an order never arriving, the company went underground and Citibank investigated and allowed the charge.  Not a lot of recourse there.