Shrimp no.
Crab ya in places. Some people will try the Bremerton public pier, waterman dock and harper pier in Port Orchard. Crab rings are most effective.
Fishing, your best bet is Point No Point in Hansville when salmon opens. Area 9, learn the regs. It gets crowded but its productive.
Several of the area lakes get trout stocks, Kitsap, Wildcat, Island Lk to name a few that have shore access. Again get the regs and make sure your legal.