Answer: No
Step-by-step explanation:
Both bacteria and archaea are prokaryotes.
Bacterial and archaeal cells do not have a membrane-bound nucleus. Their genetic materials (DNA) are within the cytoplasm. They also lack other membrane-bound cell organelles, including mitochondria, chloroplasts, endoplasmic reticulum (ER), and Golgi apparatus. For this reason, all the biochemical reactions, as well as transcription/translation happen directly in the cytoplasm. Bacterial and archaeal cells can not grow big also due to this limitation.