Yes. For instance, a positron (which is an anti-electron) is identical to an ordinary electron except that it has a positive charge instead of a negative charge. It has exactly the same mass and experiences exactly the same gravitational force. The electrical force between a pair of positrons is also exactly the same as between a pair of electrons also. However, while a pair of electrons or a pair of positrons repel each other through the electrical force, one positron and one electron attract each other.

Thus they are pulled together and will eventually annihilate.