I thought it rang a bell.

Your source says "As with many of the other spurious quotations attributed to Jefferson, it is not possible to say absolutely that he could never have written this one. But all the evidence indicates that it was the product of a different time and a different mind." - this is, of course, that author's opinion, and though it seems reasonable it is not proof.

The Encyclopedia Britannica indicates that the gist of the first sentence of the quote is actually Jefferson's:

And I sincerely believe, with you, that banking establishments are more dangerous than standing armies; and that the principle of spending money to be paid by posterity, under the name of funding, is but swindling futurity on a large scale.