Yes absolutely. A galaxy is considered ‘dead’ after it can no longer generate new stars. Here are a couple of articles:

Death of giant galaxies spreads from the core: https://esahubble.org/news/heic1508/

A galaxy that suddenly stopped forming new stars more than 13 billion years ago has been observed by astronomers: https://www.cam.ac.uk/research/news/astronomers-spot-oldest-dead-galaxy-yet-observed