Only if you allow it. Your garden is private at first.
To share it, open Sharing settings in your garden. You can turn on:
You also need a garden nickname. Your real name is never shown.
Visiting: open the Community tab and tap Visit garden. You can send water or fertiliser (you pay the points) or free sunshine. There is a small daily limit on gifts for each plant.
Your visitors: Garden visitors shows who visited recently. They show as "A neighbour" unless they chose to show their nickname.
If a garden is not appropriate, tap Report or hide.