BJT VCVS with high gain
It's actually got a gain that is a fraction below 1, probably nearer to 0.99 for normal transistors with average beta/current gain and an emitter resistor that isn't so low it forms too high a potential diver (thus losing a bit more gain) with the internal emitter resistance.

In this configuration (common collector) gain can approach 1 but never be 1 or greater than 1.

If you were to implement a common-emitter and take an output at the collector then gains far in excess of 1 are achievable.