Sure, but there are different things that tend to drive up demand, such as immigration and an increase in lifespan (or whatever happened that made the population increase despite below-replacement fertility [0]), fewer people living together, and people using homes as an investment/store of value without actually living there.
Although for the specific case of Paris proper (not the whole region), population has actually decreased in recent years. But there also seem to be fewer people per dwelling. See [1] for some interesting graphs. Unfortunately it's French, but Google Translate should do a good enough job.
[0] https://www.statista.com/statistics/459939/population-france...
[1] https://www.paris.fr/pages/le-boom-des-logements-vacants-acc...