No, the way this works is this (as I understand it): I'm a bank, I need some cash to operate (people withdrawing money, trading, making payments, etc.), but I have no cash. I have $10B in US Treasury bonds, but - well, they're notionally worth $10B, but nobody want to exchange them for money, because noone else has money to spare (i.e. liquidity crisis). So here comes the Fed, takes my $10B in bonds, gives me $10B of cash so that I can run my business... In a week or so, I need to return $10B in cash, I get my $10B in bonds back ("collateral") and the cycle continues again.
The alternative is, the bank collapsing, taking some part of the economy with it.