The Fingerprints grow larger as the person grows (from infancy to adulthood), but the basic shape and pattern do not change with time. This means that Fingerprints do not change with time. As aforementioned, the size of a Fingerprint increases as the person grows older, but the patterns stay the same.
You can scar your Fingerprints with a cut, or temporarily lose them through abrasion, acid or certain skin conditions, but Fingerprints lost in this way will grow back within a month. This doesn’t change your Fingerprint but it’s harder to scan or take a print from it.