At least for now, yes.
Like other coronaviruses, the one that causes Covid-19 is primarily a respiratory virus, which affects the organs and tissues involved in breathing (like the lungs). It typically enters the body through the nose and multiplies rapidly, allowing it to spread easily through exhaling, speaking, laughing, singing and sneezing. The vaccine helps the body to attack the virus, preventing a person from becoming seriously ill.
But researchers have not yet determined whether the vaccine reduces individual spread of the disease. In other words, we know that if you get the vaccine, you are highly unlikely to become seriously ill from Covid-19. But you may remain contagious to others within your social circle and to anyone you come into contact with. Until we know for sure that there is minimal risk of infecting others once you've been vaccinated, or until we reach a level that allows for herd immunity protection, you should wear your mask and practice social distancing as before.