I don't think so, no.
Maybe on of the more tech guys can correct me but if hiss exists before the preampfification it's going to be amplified by the same amount as the voice.
In that circumstance, it won't matter where your gain is.
Not that I claim any great "tech" but I have lived through and had a lifelong working interest in the steady improvement in dynamic range.
Noise, the whole 'thing' is a movable feast, how annoying it is depends on many factors. The best vinyl could manage on replay was about a 70dB Dynamic Range but headroom was very tight. Tape, without NR was a bit worse, 65dB but much depended on how hard you wanted to hit it!
In a very quiet, domestic listening room vinyl (from tape of course) was only JUST satisfactory for modest DRs such as small classical forces. Even the grand piano reproducing the heavy Chopin and Beethoven scores was beyond the black disc and Engineers (proper ones mind!) had to ride the faders with great skill to get it all on! Most people in recording studios back in the disc heyday could read scores very well indeed.
Today the tables are turned. No longer is the 'storage system' the weak link. For $150 or so, ANYONE can have an AI with a -100dB noise floor and in fact for the vast majority of people it is their room and beyond that limits their noise floor.
The 'noisy guitar amp' was mentioned? Good example of how noise bothers/don't bother us! Down the Mucky Duck we bash out 100dB+ songs and care little for the hiss, hums and buzzes. Put the same amp in a bedroom and FFS! How can I make a decent recording with this pile of ***T!
Dave. (and I am very pleased to have had even the tiniest of parts in the very successful development of what is probably THE quietest 5watt guitar amp on the planet!)