Its not that easy. You have to physical go to a office that deal with cash. Its not permitted to be done through the phone, and only a small subset of bank offices deal with cash.

You also don't get the cash immediately, but have to wait a minimum of several bank days. Also, as regulation against money laundry require, you must tell the bank as to the purpose of the withdraw and they are permitted to deny it.

Its much more than just "stop someone who steals your bank card".

That makes a little more sense (that you can go to the bank to physically get more cash). It is disturbing that others are saying that most banks don't have cash and that they can deny you for basically no reason. That's very odd to me. It's not usually an issue because of credit cards, but it is still strange. Interesting to know.

Even if you go into the bank, they most likely can’t give you the cash because the office doesn’t have any. And I bet you they can’t alter the limits in the ATMs either.

I strongly suspect the limits are there to prevent bank runs, and not for any customer-service purpose.