I suppose really I should expand on that, but I was aiming for brevity for a change.
It's generally thought that fingerprints are unique, although there is no proof of this as far as I can tell, and probably never will be. All the same, the large number of human individuals isn't evidence against the idea: 7 billion now, maybe 100-odd billion in total so far, is actually a tiny number in the grand scheme of uniqueness, and barely comes close to exhausting the potential number of distinct fingerprints.
On the other hand (no pun intended), the
traces left behind by fingerprints aren't necessarily unique, can be subject to interpretation, aren't perfect representations of the fingertip, etc etc. Apparently some studies have shown that experts on fingerprints can disagree with each other about whether this fingerprint is a match to that one, and even disagree with themselves when shown the same fingerprint twice. So there is some subtlety in this, as always.
See also
http://www.telegraph.co.uk/science/2016/03/14/why-your-fingerprints-may-not-be-unique/ (although here fingerprints ought to be read as "marks left behind by your finger"), and
https://www.scienceabc.com/innovation/why-are-fingerprints-unique-and-why-do-we-have-them.html