No. None of the COVID-19 vaccines currently being developed in the United States have the virus that causes COVID-19 in them. If you happen to get infected with the virus that causes COVID-19 just before or just after you received the vaccine, you could still get COVID-19. This is because the vaccine has not had enough time to provide protection from the virus.
Sometimes people get a fever or feel tired for a day or so after getting a vaccine. These symptoms are normal and are a sign that the body is building immunity. It usually takes a few weeks for the body to build immunity after vaccination.