Yes, the majority of stars, including the solar systems within the Milky Way galaxy, are indeed moving in various orbits around the supermassive black hole at the center of the galaxy, known as Sagittarius A* (Sgr A*). However, it's important to note that the motions of stars in a galaxy are complex, and not all stars move directly toward the black hole.
In the Milky Way, stars, including our Sun, orbit the galactic center due to the gravitational attraction between them and the combined mass of the galaxy. This orbital motion is similar to how planets orbit the Sun in a solar system. The gravitational pull of Sgr A* influences the motion of stars, causing them to move in elliptical or slightly irregular orbits around the galactic center.
While the stars and solar systems are in motion within the galaxy, the gravitational pull of Sgr A* doesn't necessarily mean that all stars are moving directly toward it. Some stars may be moving away from the black hole or on orbits that take them farther from it. The specific trajectories and motions of stars depend on factors such as their initial velocities, distances from the galactic center, and interactions with other stars and structures within the galaxy.
Overall, the motion of stars in the Milky Way is a complex dance influenced by various gravitational forces, including that of the supermassive black hole at the galactic center.