Usually, no. In forensic science, fingerprints are classified as pattern and impression evidence—markings made when one object contacts another—alongside shoeprints, toolmarks, and tire treads. The U.S. National Institute of Standards and Technology (NIST) groups fingerprints under that category, not under trace evidence.
By contrast, traditional trace evidence means small transferred materials such as fibers, glass, paint, gunshot residue, soils, and pollen (as listed by the National Institute of Justice). Latent prints can be tiny or hard to see, so people sometimes call them “trace” informally, but labs typically treat fingerprint comparison as an impression/pattern discipline.
Source: Pattern and Impression Evidence — NIST. See also Trace Evidence — National Institute of Justice.