This is simultaneously both impossible and what already happens.
You need to remember that in space nothing really orbits anything else. By which I mean they are always orbiting their common center of gravity. Now in cases where one is much more massive such as our sun that common center of gravity is very close to the center of the much more massive body. In other words The Sun is getting pulled towards The Earth just as much as The Earth is being pulled towards The Sun. The only difference is the Sun is so much more massive that it only moves a tiny amount by comparison.
So to get what you are looking for then you need the cluster of orbiting planets to somehow be significantly more massive than a star so that the common center of gravity is not inside the star.
That sort of structure is going to be basically impossible to form, you just can't get enough mass from planets that still look anything like planets and which are in a stable situation.
Your best bet may be to have a neutron star or other stellar remnant in a binary system with the star. The planets can then be orbiting the neutron star and the other half of the binary would appear to be orbiting them (although again the common center of gravity would be somewhere between the neutron star and the star).