How to show the customer's billing address and delivery address in customer profile plug-in.Is it possible? Now it is shows in checkout page.
They are not shown by default but you can use the "account/profile" HTML client to display that information. If you would like to show the data only, you can add the code to display it in the account/profile/body-default.php template:
The customer item and the address items are available as "profileCustomerItem" and "profileAddressItems" as you can see here: https://github.com/aimeos/ai-client-html/blob/master/client/html/src/Client/Html/Account/Profile/Standard.php#L358
In case customers should also be able to modify their data, the best thing would be to create two new subparts for this component ("Payment" for the customer payment data, "Delivery" for the delivery addresses). How to create new subparts is described there: