By definition, prokaryote
s do not have nuclei
. Their genetic
material floats freely in their cytoplasm
. There is in principle no reason why they mightn't have other organelles.
They do, if we consider ribosomes to be organelles. What exactly is the definition? None of the above write-ups are precise enough, and I don't know the answer. A ribosome doesn't have a membrane, but it is a complex structure within the cell. I think that lets it count as an organelle.
However most of the organelles of a eukaryotic cell are believed to derive from earlier free-living prokaryotes that entered into symbiosis with a larger cell: this is the endosymbiont hypothesis of Lynn Margulis, and disposes of chloroplasts and mitochondria.