make a living "by/from" ...

[Saki6]

https://www.merriam-webster.com/dictionary/make a living
make a living idiom
: to earn the money one needs to pay for housing, food, etc.
He made a living by working as a cook.


Is it correct to say "He made a living from working as a cook" instead of "He made a living by working as a cook"?

 

[jutfrank]

You don't need any preposition at all when there is an -ing phrase following.

He made a living working as a cook.
He makes a living selling saucepans.

The phrase make a living doing something already has the idea of work as part of the meaning, so in this sentence, it is not necessary to include the word working.

He made a living as a cook.

 

[GoesStation]

While no preposition is necessary, either one is possible.