No. The Dynon (and Trig) transponders are "elementary surveilance" devices. Per the spec: "ETSO 2C112b Class 1 Level 2els, ETSO C166a Class B0, TSO C112c Class 1 Level 2els, TSO C166b Class B1S" - the "els" part is the pertinent bit there. For what it's worth, the EHS transponders are really only used on heavier/faster aircraft in Europe currently:
"Aircraft with a maximum takeoff weight greater than 12,566 lbs (5,700 kg) or a maximum cruise true airspeed greater than 250 knots must be equipped with Mode S EHS to operate in the United Kingdom, Germany and France.
EHS is intended to provide additional information about an aircraft’s state and intent for use by air traffic controllers. It includes the elements of information (called Downlink Aircraft Parameters – DAPs). The DAPs include:
Magnetic heading
Indicated airspeed / Mach Number
Vertical Rate
Roll Angle
Track Angle Rate
True Track Angle
Ground Speed
Selected Altitude
This information is designed to offer improved situational awareness for air traffic control while reducing radio congestion. Access by controllers to aircraft intent DAPs allows cross-checking of climb/descent instructions and help the early identification of potential loss of separation incidents."