Yes, a small one.
To simplify things a little bit a supercomputer is made of individual computers connected by a high-speed network. They consist of several hundreds of computers making 1000’s of CPU cores.
In a DEXTER personal cluster we have four individual computers and they are connected by a high speed network. Not that high speed as used in big supercomputers though.
So yes, it is a small supercomputer with capabilities designed to fit the needs of professionals who have grown out the computing power of their single-computer workstation and want the power of cluster computing by their office desk.
Please check Applications for living examples.