Well, very very broadly: yes, a possible risk.
You didn't mention:
- If the connector is attached in standard use (i.e., what they'll be testing)
- What the signal level, bandwidth, repeat rate, filtering, etc. is on the lines
- Internal grounding/shielding, consistency of grounding / ground loop voltages/currents, other internal sources (logic, switching noise?)
- If the connector does radiate, then what does it 'push' against, i.e., what other boards or cables or enclosure might carry the displacement current
Removing ground plane is almost always a terrible idea, but I'd have to see the entirety of the design (system level interconnection; mechanical; electrical (schematics and PCB)) to provide much practical input...
Tim