No question is ever stupid! Unasked questions, however, do suffer from inducing ignorance.
So, in general--and I think this applies to al models--plug-in hybrids do not permit direct current fast charging (DCFC), sometimes called super-charging or Level 3.
The reason may be that Level 1 and 2 chargers are "fast enough" to fill up the smaller 5-15kWh Li-ion batteries in these vehicles. Generally, all plug-ins can be charged to full overnight just from a 120V plug. It might take 2-3 hours at most to fully charge one from a Level 2 ((240V) charger. It is both cheaper and less risky to the battery for plug-in hybrid manufacturers to offer only AC charging in these cars.
So, you are looking for only a J1772 plug connection to charge your car, and the Chademo and CCS plugs at DC fast chargers (DCFC) are larger and simply won't fit.