No, you had better not to go to the beach with pink eye. Firstly, pink eye is caused by bacteria and virus. Although there has quite low possibility to pass pink eye to others on the beach, pink eye is contagious. And you need to use eye drops to treat pink eye in an effective way, thus you had better not go to outside to make the pink eye worse. At the same time, the conjunctivitis can make your eye more sensitive to bright light until it's completely healed. What is more, the ocean contains salty water that would irritate your pink eye to make it worse.