with Axoloti there when you ask the question, "Can it do ..."
there's a variety of answers depending on how deep you want to go.
in this particular case..
no - the Axoloti firmware cannot just record the audio to sdcard, (' out of the box')
yes - you could patch by storing audio into tables then save it, but Id not really recommended this, since you are storing the audio in memory, then saving it, so its using previous sdram - and its only good for short audio clips (think seconds, not minutes, depending on resolution etc)
however, you could write an object (quite simple) to stream the audio to sdcard, the issue is if the write speed of the sdcard is sufficient, and also the load it would place on the cpu - this is something that would have to be tested.
( I think Johannes did do some tests on this, I cant remember if there was any conclusion )