Three of the banks I use allow this feature, but there are daily limits, such as 10k or 25k limits. First hand experience: Chase, Citi, and (the obscure but growing) USAA.
HSBC all the way they held thier own during the mortage crisis. USAA is a good second, everbody else is a big whatever. Lots of nonsense in the market lately US bank will take a hit but Eurobanks are starting to scare me. BAC has a really big target so that would be at the bottom of the list. Welcome to Neo Feudalism, Akuma Buy some gold and diamonds!