This is a classic Buddhism quote. This also brings up the discussion of ‘Money is the root of all evil’ vs. ‘The Love of Money is the root of all evil’.
Is it possible to love someone or something without being attached to them or it? Yes, of course, but many people cannot see that fine line.
But if you are attached to someone does that mean that you love them less? No, it means that you love them as their own person and helps releases you from becoming needy and dependant upon someone else for your happiness.
There are many arguments over this quote. Many say that it is true and they are right. Many say that it isn’t true and they are right as well.