why would you need to?
Just record the whole thing
I think the Stenographer is there to create and present a legally approved version of all that was said. Sometimes, a recording can blur or muffle someone’s courtroom response.
The blur or muffle may also be due to a strong accent if english is not their first language. Example; Did the defendant say “Rarish” or “Relish” or “Reddish” or Wettish?
This is probably not a common career option nowadays.
It takes a certain type of literal-based mind to be good at this.
The court reporter would need to remain in possession of the recording because he/she has to certify that the transcript is a true transcript.
Lots of places do for non-criminal hearings. I’ve transcribed a number of them.