A Phrasal Verb, not to be confused with Verb Phrase (as in SVO), is an idiomatic expression. As you may recall, idiomatic expressions are sayings that are understood because of use, rather than diction (dictionary definition).
Phrasal Verbs usually contain a Verb and Adverb or Preposition. For example, “look after,” our phrase of the day contains the Verb “look” and the Adverb “after.” However, “look down,” another common Phrasal Verb, includes a Verb and a Preposition.
Common Phrasal Verb expressions include “look down, watch out” and “listen closely.” Each contains two words, a Verb plus another word.
To wish for something is a strong desire for a specific outcome.
The word “wish” is a Verb, it’s one of those action words where no physical labor is required to engage in the action, something somewhat abstract. Other abstract Verbs include trust, worry, and forget as well as many other thoughts and feelings. But, “wish” is the most yearning of these Verbs.
Making a wish is common in both the West and East. For example, you may have encountered a wishing well. A place where tossing a penny into a deep drum of water grants your deepest desire. Or, you may have seen a movie in which the players ask a genie to bring love into their lives.