You can say "right a wrong" & "righting wrongs" But can you say "wrong a right or "wronging rights"
To "right" something means to restore to the proper condition. The object of this transitive verb is generally a situation, an act, a law, or some other intangible property.
A "wrong", as a noun, is an injurious, unfair, or unjust act, something which can be the object of "righting" per the first definition.
"Righting a wrong" is a phrase meaning to take that unjust act and correct it, which is both grammatically sound and idiomatic.
On the other hand, to "wrong" someone means to do wrong to them or to treat them disrespectfully or unfairly. The object of this transitive verb is a person. The noun "a right" has several meanings, none of which refers to a person (or to a just act such as would be the opposite of "a wrong").
Saying "wronging a right" does not, grammatically, make as much sense as the converse.
Nonetheless, because "righting a wrong" is a well-known idiom, people will sometimes say "wronging a right" as its opposite, to mean "taking a situation that is correct or just and making it wrong," such as reversing a correct legal decision, or introducing errors into a document that was originally correct.