I have seen some dentists advertise that you can get your teeth pulled and have the dentures made and fitted within the same day.
So yes it is possible for some dentists to pull your teeth and then get dentures fitted with the same day however some dentists pull your teeth and then a week later fit the dentures because some dentists have to send the denture work out to another place.
But some dentists can make dentures for you in the same office depending on how they are setup.
The dentist will pull your teeth and then check to make sure your gums are healing enough to install the dentures the same day.
If not then you may have to wait until the next day or a few days later to have your dentures fitted.
But most dentists today can fit your dentures within the same day of pulling your teeth.