Love, without the fear of losing?

Just watched "Love of Siam", a thai film about 2 boys whose love for each other goes beyond brotherly love. Now, there was a part where the main actor said that his greatest fear is loneliness. Because, when you don't have someone, you feel so lonely. But yet even when you have someone, the fear of losing him/her, makes you feel lonely as well.

He went on to say, can you love someone, without the fear of losing him/her?

Can you?