No, the Milky Way's supermassive black hole, known as Sagittarius A* (Sgr A*), will not absorb all of the solar systems in our galaxy if left uninterrupted. While Sgr A* is indeed a massive object with a gravitational pull, its influence is limited to the immediate vicinity of the galactic center.
Black holes, including supermassive ones, have an event horizon beyond which their gravitational pull becomes significant. In the case of Sgr A*, its event horizon is relatively small, and it exerts its strongest influence on stars and objects in its immediate vicinity. The majority of stars and solar systems in the Milky Way, including our own Solar System, are located far away from the galactic center and are not at risk of being directly absorbed by the black hole.
However, it's important to note that black holes can have indirect effects on their surroundings. They can influence the movement of stars and other objects in their vicinity, causing disruptions or gravitational interactions that may alter the paths of those objects. But the idea that Sgr A* will absorb all the solar systems in the Milky Way if left uninterrupted is not accurate.