Is it true? I see no option to add contacts. Can this be added?
Yes, there is no such feature in both the mobile and desktop versions. You can request it
here. For privacy reasons, you are supposed not to reuse addresses; that's why some people might not be in favour of your idea.
The desktop app does have contacts. It's in the Wallet/Contact menu where you can add a contacts (I.e just mean add an address and give it a name). You can then enable the contact tab in "view" menu