Friendship is a term used to denote co-operative and supportive behavior between two or more humans (from wikipedia).
There are two keywords, co-operation and support, that form the core of the definition. Friendship is not just about staying together or spending time together. For a long term friendship the co-operation and the support of each other is a must.
If you look in the history of your friend circle, you will notice that your friends with whom you used to spend a lot of time are no longer your friends but those few, with whom you had spent very little time are still your long term friends. For some friends you just say a hello and move on, for others you want to talk, for at least a minute, even if you are in a hurry. What is the difference between these two categories of friends? What makes the second category so special to you?
If you look back, you will notice that you have that special connection with the second category of friends. This connection is due to your past experience when they have added some value to your life, to your discussion, to your happiness, to take you out of your misery, or some thing like that. At some point in your life they had contributed positively and hence knowingly or unknowingly you tend to feel that special connection with them.
And YES, you can be that special one for so many others. People will be looking forward to meeting you and get that warmth from you and feel happy about it. Your happiness will also be elevated as there is no better satisfaction than being instrument for other's happiness. To achieve this you will need that frame of mind where you are coming out of your own world, your own benefits and start thinking about others. How can you contribute to other's life. Every small action that you make should be with an attitude to help others, to make them happy, and to show them the right direction. Practice this for some time and you will understand the depth of the point discussed here.