Not unless you want a sour tasting rum.
As a dedicated rum'stiller, I recommend a dedicated rum fermenter for this project.
Also use a dedicated container for re-using the trub, it becomes like a good sour dough "mother" over the years, imparting a unique taste to your product.
Plenty of material here and in the Advanced Distillers forum to guide you.
--- In firstname.lastname@example.org, "JerryM" wrote:
> I made several batches of Uncle Jesse Simple Sour Mash recipe. I used the trub from the first batch, to ferment the rest of the batches. Worked really well. I still have the trub from the last batch.
> Considering that the trub contains corn meal, could I use that trub to ferment a a couple of rum batches?