Yes an emergency dentist can remove teeth if the tooth needs to be removed due a serious enough infection.
Most dentists will only remove teeth once they have X Rays done on the teeth and then they want to make absolutely sure that the tooth needs removed.
But if you want to have the tooth removed and can pay for the tooth removal then the dentist will remove the tooth for you.
If you have a dental emergency and cannot get to a dentist then you can also go to the emergency room for dental treatment.
Some places have dentists available 24 hours per day while others are only open for certain hours of the day.