Did King Louis XIV have friends?

Yes, and No. He was a great King of the most powerful state in Europe at the time, and was extremely wealthy, although his wealth dwindled towards the end of his life. He was the sole source of power in France and had absolute control. These two factors, combined with the prestige of Royalty, meant that there were a lot of people (nobles, mainly) who wanted to be his friends and share in that wealth and power.

The number of 'real' friends of the Sun King, people who were his friends because they liked him as a person, is unknown but was certainly very low. He may even have had no 'true' friends (as we would consider them), because of his status.