The phrase "cold enough to freeze the balls off (or "on") a brass monkey" is a colloquial expression used by some English speakers. The reference to the testes (as the term "balls" is commonly understood to mean) of the brass monkey appears to be a 20th-century variant on the expression, prefigured by a range of references to other body parts, especially the nose and tail.

Based on the paragraph above can we conclude that "cold enough to freeze the balls off or on a brass monkey has no date"?
Yes