you would have to somehow provide a list for each custom prefix you wanted, so if your render sequence was 20 frames, you'd have to have a list of 20 custom prefix names, right?
I'm not super au-fait with rendering, and certainly not with using preRender MEL functions, so there may be a much better way to do this, but here is one very simple approach that at least shows you what you want can be done.
If you create a preRender global MEL proc (called whatever) and generate your list of prefixes, like so:
global proc preRender()
{
global string $gPrefixNames[] = {
"Homer",
"Bart",
"Lisa",
"Maggie",
"Marge"
};
setAttr defaultRenderGlobals.imageFilePrefix -type "string" $gPrefixNames[0];
}
This example assumes we have a render sequence of FIVE frames: 0,1,2,3,4 and the fives names listed represent the prefixes for each frame. (We also set the first one here, as the PreRenderFrame doesn't actuallty seem to run before the first frame is rendered? 🤔 ).
Then we create a second MEL proc for preRenderFrame:
global proc preRenderFrame()
{
global string $gPrefixNames[];
int $frame = `currentTime -q`;
string $prefix = $gPrefixNames[$frame];
setAttr defaultRenderGlobals.imageFilePrefix -type "string" $prefix;
}
enter both of these functions into the relevant Render Options fields:

and then the results after executing a Render Sequence should be something like:
Starting Render Sequence with Maya Software
Rendering masterLayer from frame 1 to frame 5
Rendering Frame: 1 (1/5) Camera: persp Layer: masterLayer
D:/test_proj/images/tmp/Homer.0001.png
Rendering Frame: 2 (2/5) Camera: persp Layer: masterLayer
D:/test_proj/images/tmp/Bart.0002.png
Rendering Frame: 3 (3/5) Camera: persp Layer: masterLayer
D:/test_proj/images/tmp/Lisa.0003.png
Rendering Frame: 4 (4/5) Camera: persp Layer: masterLayer
D:/test_proj/images/tmp/Maggie.0004.png
Rendering Frame: 5 (5/5) Camera: persp Layer: masterLayer
D:/test_proj/images/tmp/Marge.0005.png
Sequence rendering completed
Maybe this is some help until you get any better answers 😅