No. Dogs, cats, birds and other domestic pets (other than trained assistance animals such as guide dogs) must not be taken into national parks, state conservation areas, nature reserves, historic sites or Aboriginal areas.
Regional parks where dog walking is allowed
You can walk your dog in some regional parks' designated dog walking areas, provided the dog is on a leash at all times. NPWS manages these large, open spaces in urban areas to give city residents recreational opportunities in pleasant, natural surroundings. This includes a section adjacent to the newly designated Berowra National Park, which has three dog walking tracks. Bring plastic bags to clean up after your dog.
Pet friendly state parks
Some state parks allow pets. Contact the state park directly for details about conditions and restrictions.
Camping with dogs
Visit NSW.com's accommodation search allows you to filter for private campgrounds that allow dogs.