There's a big difference. The bank is able to create money from thin air when you deposit funds, thanks to fractional reserve banking. Banks typically only need to hold 10% (or less) of total funds deposited. The rest they loan out, which always finds its way back into the banking system, so that effectively, banks are able to loan out about 10x what their depositors have in their accounts.
Holding Bitcoin, on the other hand, is more like gold in that there is only so much of it.