No it's set before birth. A future person's finger print could perhaps be modified, but it seems like we don't know all the genetic components behind fingerprints, and there are probably environmental factors as well.
Your fingerprint can't be "genetically modified," but I'm surprised at the amount of false information here. Burning your fingers or deep cuts will give you a new fingerprint (usually "none") [1]. AFAIK you can't change your fingerprint to a specific new one, though.
The only way I believe that they can be modified is by literally burning them off or if you get a deep scar or cut, that can permanently alter the way they are. As far as "genetic modification" goes, likely not.
https://ghr.nlm.nih.gov/primer/traits/fingerprints https://www.scientificamerican.com/article/are-ones-fingerpr...