Yes, I suppose, but given all the other material in there and the ultra fine filtering, that would get clogged rapidly.

However, you do not need to have pure bacterial sieving.
The particulates they are attached to are not detrimental, a food source and surface area for them to attach to. Thus the "mulm" itself would be fine to use.

You can dry out mulm from a filter sponge and use that.
It will rapidly recolonize and act as a well mineralized organic layer.

I suggested this back in the 1990's and really have not done much with it since about early 2000's.

Drying it out is a bit of work and you need to collect it etc, but if you have another aquarium that's established already, this step is really not needed, you can use the fresh mulm instead. All you need is some bacterial inoculum with a little organic matter(some reduced carbon) to keep them going.

Regards,
Tom Barr