Not in any substantial numbers, if at all. As this 1991 article
describes, the neutron bomb was deployed in the 80s mainly in the form of Lance missiles. More specifically, it became the W-70 warhead used to arm them. However, by 1999, when he testified
before the Senate Armed Services Committee, William Cohen was able to say:
But more has changed in the past seven years than simply my moving my desk across the Potomac. Many of the older weapons in the stockpile are no longer there; since then the W-33, W-48, and W-79 artillery shells, W-70 (LANCE warhead), B-53 (bomb), and W-56 (Minuteman II warhead), all of which had safety deficiencies have been retired, easing my concerns.
Furthermore, this FAS-endorsed description of the current US stockpile
doesn't include anything resembling a neutron bomb. The strategic circumstances had, of course, shifted since 1991.
The US does however, presumably, retain the capability of manufacturing such warheads should their possession be deemed advantageous.