Is the solar system made up of only your solar system?

Yes, there are no other solar systems in our solar system, except our own, it is not generally considered to overlap with another solar system. The solar system can be defined as the region in which the Sun's gravity is dominant; this region includes the Sun, the planets, asteroids, comets, etc - but it does not include another star (the nearest neighboring star to the Sun being about 4 light years distant).

It is entirely possible that the Sun gravitationally captured or can capture a rogue object which was roaming interstellar space, and which possibly was ejected from a different solar system; sometimes this becomes the subject of speculation with respect to objects within our own solar system.