The US does not have sancturary cities as such, but it does have laws that offer protection to immigrants who qualify as asylees or refugees.
Illegal immigrants have in a few instances sought sanctuary from deportation by seeking refuge under the protection of a church or religious organization.
The US Supreme Court has ruled that such action is not recognizable under immigration law and the immigrant(s) are still subject to seizure, detainment and deportation and those assisting them or refusing to cooperate with authorities can be prosecuted regardless of their religious status/views.