Carrick is an Anglicised spelling of creag (sometimes spelled carraig), the Gaelic word for "rock." As a surname it is not that uncommon, but as a place name it is very common - over fifteen places in Ireland bear the name in some form. There's even a city named Carrick in both Cornwall and Scotland, and a couple in the U.S. and Australia.
It can also be seen as a title: Earl of Carrick, from Scotland. Donnchadh (Duncan), Earl of Carrick was a prince and magnate who died in 1250. After being held prisoner by King Henry II of England for some ten years, he returned home with permission to rule over Carrick, but not all of Galloway. Marjorie of Carrick, who was likely Donnchadh's granddaughter, was born just three years after his death, and she was the mother of Robert the Bruce.
In 2015 Carrick was given to 26 U.S. boys, which is a slight decrease from the past few years, but still a good rise in popularity from when it was just starting out in the 1970's. Carey would make an easy nickname.