By "unique" meaning one of a kind, then the answer is yes, the best example being the last living speaker of a dying language. Hypothetically a person could also develop a talent that no one else has, but this would be very difficult considering that over six billion people exist on this planet, most people live in a community with shared values and we are all of the same species with the same general abilities and limitations.
If, however, by "unique" one means supernatural, referring to telekinesis, mind reading or the like, then the answer is that no such ability has withstood strict scientific scrutiny, although certain monks have shown the extraordinary ability to control functions of the body normally thought to be autonomic.
Caracals have unique hunting abilities for cats: you can find more on the link.
The main unique ability of fish is that they can breath and live underwater.
they don't have back bones or a head
A monkey frog is unique because of its tree climbing abilities.
Artificial body parts give people superhuman abilities
Artificial body parts give people superhuman abilities
self confidence
Because not every vampire can have special abilities. Vampires are unique, just like people. Plus it would be waaayy to hard to have to come upp with all these different abilities for a lot of vampires.
Lateralization
Vikings were unique individuals, just like humans now. Each one had his or her own unique abilities and talents.
Percy Jackson's unique skill and ability is the power to control water.
our abilities to help other people