Are there any phagocytic prokaryotes?

There are not. All prokaryotes are very very small and have cell walls. They have many methods of transport across the cell wall and cell membrane, but not "bulk transport" through any kind of endocytosis. read more

All prokaryotes are very very small and have cell walls. They have many methods of transport across the cell wall and cell membrane, but not "bulk transport" through any kind of endocytosis. When eukaryotes do this, they bring in the outside material into a vesicle which then merges with a lysosome (for example). read more

Prokaryotes are unicellular organisms that lack organelles or other internal membrane-bound structures. Therefore, they do not have a nucleus, but, instead, generally have a single chromosome: a piece of circular, double-stranded DNA located in an area of the cell called the nucleoid. Most prokaryotes have a cell wall outside the plasma membrane. read more