Is it possible to say that a city is "full" and how would a government enforce that? What I see in the news is that there is a large influx of immigrants to New

Is it possible to say that a city is "full" and how would a government enforce that? What I see in the news is that there is a large influx of immigrants to New York City at the moment. The City is required to house them. Besides taxes and zoning, which could reduce the number, how else can the government reduce the number of people in the city?