If you're camping in Morro Bay State Park yes there is a station to fill your water tank. But if you are camping at Morro strand there is no station but you are free to go to the Morro bay state park to fill.
The water fill is in the dump station area. Just past the sewage dump area. You need to pull through the dump station to fill up your water tank.
They do have a water station, it is well water and has a mineral taste but not bad for drinking, much better than chlorinated water from your faucet at home!
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