I'm not sure if I'm interpreting you correctly, but I think the answer is no. It's best to think of it as the creation of new money, which cannot significantly be reversed. The way the Fed prints money is by buying Treasuries, which increases the money supply in two ways:
1. It allows the government to spend more money, which ends up going to a bunch of places that can't be "unspent" (government worker salaries, contractors, equipment, etc.). That money goes into various banks and ends up getting irreversibly multiplied.
2. In order to fill bids for Treasuries, the Fed front-runs other market participants with artificially low interest rates (below market), forcing other major Treasury participants (like banks) to lower their commercial interest rates in order to do something with their deposits, resulting in more borrowing.
It should also be noted that the Fed sets the Fed Funds Rate, but my understanding is that this has a less pronounced effect. And it sets the minimum fractional reserve ratio, which as of COVID, is ZERO (infinite multiplier potential, although most big banks are pretty conservative with their reserves. Although IMO they do not need to be, since the odds of a run on the bank in an approaching-cashless society is nil).