No. We find out in “Bar Association” that the station doesn’t charge Quark rent, and hasn’t since the Federation took over administration duties on behalf of the Bajoran Provisional government, however in season two’s “Armageddon Game”, when it is believed that Doctor Bashir and O’Brien are dead, Quark toasts them by saying, “We may have had our differences, but I’ll say this for them, and it’s no higher tribute I can think of: they were good customers. They always paid their bar bills on time.”
Notably he specifies that Bashir and O’Brien paid their bills, not the Federation or Starfleet paid on their behalf. Now, maybe Starfleet officers serving on DS9 or other places where the civilization still use a form of currency have access to an account that Starfleet is takes care of everything, but based on the language Quark uses it does seem like Bashir and O’Brien were the ones making sure the money got put into Quark’s hands.