No. But since we don't see her bartering with the merchant, the Federation must have some type of value exchange system in place, i.e. money.
Well of course
Starfleet has some
method of reimbursing others for goods and service. The writers deliberately kept it vague as to how it works. (But it's not necessarily "money", if money is defined as coins and notes, that is.)
But was "no money" a Roddenberry rule? Wasn't it originally introduced in The Voyage Home?
"Credits" were introduced in "The Trouble With Tribbles" when Cyrano Jones was selling tribbles.