Parking directly at the aquarium is tough/limited since it's in the old cannery building. I most often park at public lots and walk to the aquarium. Some of those lots have charging stations, but you'd have to research which ones before going.
Yesterday (7/4) we parked in the public parking garage for $20. I looked for EV charging as well for us (Pacifica) but didn't see any. I'd look to see if there are any reservations available through a parking app to find EV spots/an EV spot in a garage somewhere.
Thanks! Your answer is awaiting moderation.