I'm not sure it entirely counts. It certainly isn't useful in the way that the current-controlled voltage source is useful as the original transcitor paper describes, but more importantly, I am unsure how much its voltage output depends on current characteristics.
The gate-controlled diode is essentially an ordinary diode, but with a MOS gate fabricated on top of it. The electric field present on the MOS gate can increase the width of the depletion region, thereby controlling the breakdown voltage. I thought that this would make it a voltage-controlled voltage source (VCVS) in the same way that a MOSFET can be configured as a voltage-controlled current source (VCCS). But on the other hand, the configuration of the current-controlled voltage source transcitor in the original transcitor article appears to be able to develop voltage without needing a specific loading. (Then again, the hall-effect device described in the original paper appears to be a (passive, albeit nonreciprocal) hall-effect gyrator serving to convert current into voltage.)