This is a bit of a reach but here goes...
I have from time to time encountered regs coming in for service where the exhaust valve was effectively glued shut by salt, silt or other crud. In some cases I could not even exhale hard enough to dislodge it and had to take the tee apart to excavate the neglected valve from whatever was encasing it or gluing it to the rim.
So...I suspect it is possible that if a diver were to fail to test his or her second stage by breathing a few breaths with it before jumping off the boat that a significant depression of the purge valve on entry could cause the reg to purge with the air having no where to go but into the diver. With a tight enough bite on the moutpiece the reg would not pop out under the pressure and I suppose an over expansion injury could occur.
It is important to note that just jumping in would not do it, as the water pressure on the diaphragm would start the flow but it would immediately stop if the air was not leaving the second stage as the pressure would push the diaphragm back out and stop the flow. In effect this would require two failures - the stuck exhaust valve followed by some object impinging on the purge button during the entry.
Alternatively, if the diver were to jump in with the blocked exhaust valve, descend 4-5 feet during the entry, inhale at the low point of the descent and then pop to the surface, the blocked exhaust valve could prevent the diver from exhaling from his or her mouth - although exhaling through the nose is still an option and unless the mask were really tight, I can't imagine it creating enough exhalation resistance to cause an over expansion injury.
Also, if either of these events were to occur it is possible that the water in contact with the reg and the resulting dampness for a few minutes after surfacing and exiting the water could free the valve before any post accident analysis detected the fault.
So in short, it might be remotely possible, but only if the diver fails to check the reg to ensure the exhaust valve is functioning before doing a giant stride.