Yes, you can. You can add, edit, and remove saved addresses from within your account under the My Addresses section.
When you get to the addresses step in the booking process, and if you are logged in, you are then able to select from your list of saved addresses and save some time!
You may notice a 'Default' button next to addresses in your profile - this is used to prefill your collection (or return, if you have picked a drop-off service) address.
Why not create an account or log in and add your addresses now?