This is the kind of simple shore excursion that makes Stocking Island valuable to cruisers: anchor, go ashore, cross the island on foot, see the Atlantic side and return to the harbour beach.
Cruiser access
Local guidance recommends anchoring with the tide in mind, going ashore at Sand Dollar Beach and following the marked/used paths across the island.
Before you go
Plan the dinghy/boat landing around weather and tide. Carry water, sun protection and footwear suitable for sandy and rough trail sections.
Low-impact note
Use existing paths and avoid disturbing dunes and vegetation.