Yes, all the addresses saved in your address book are available for selection during checkout, in the "Shipping address" section. If you have many saved addresses, you can use the search bar to quickly find the correct one by searching by company name, address or city.
To view your saved addresses or add new ones, access the "My address book" section from your account menu.
To find out how the address book works, read What is the "My address book" section for? To add a new address before an order, read Can I add other shipping addresses? To choose a different address from the one used for registration, read Can I choose a different shipping address from the one used for registration?