Banks can cover some things going wrong, sometimes, not everything going wrong at once.
Just takes one queue at a bank, few social media posts and next thing, all those branches have queues due to panic and end up with a self fulfilling prophecy so to speak.
Heck, if people can panic buy toilet roll, nothing is out of the reach of stupidity.
...but probably not. Banks are very well capitalized these days - much much better than 2008.