The most straightforward answer to the question you ask above is: NO.
While most point to Adrienne's Pizza Bar as the best the FiDi has to offer, Adrienne's pies are really undistinguished by any standards. Crust, sauce, cheese, all unspectacular.
As for slice joints, I can't recommend one over the many others.
Adrienne's Pizza Bar
54 Stone St, New York, NY 10004
Kind of a normal slice joint-y type place, but back when I worked on Exchange Pl, I went to Underground Pizza. They're not the best Pizza in NY, but they are more than a decent slice, esp. when you invest in Chicken slice or a grandmama. Considering the generally low-quality/high-price down there, it's refreshingly above-average, if you catch my drift.
3 Hanover Sq, New York, NY 10004
3 Hanover Sq Frnt 3, New York, NY 10004