Translation:We are all anxious.
It is often not easy to find synonyms across different languages. More or less they represent different concepts.
For Nervous, there are several meanings according to the dictionary:
anxious, worried, frightened
among these anxious will be the closest meaning. When you are desperate about getting something, knowing an outcome, or panicking in an adverse situation, that is 着急. However, if you are nervous about asking a girl for a date, you are just shy or frightened, it is not 着急.
character of easily worried or frightened
You cannot use 着急 to describe the character of a person.
of nerve or nervous system