In the normal sense, I'd say most people are.. but there actually are a tiny percent of selfless people.. people I know personally who demonstrate this through small (or big) acts on their part, or people commemorated in history for their great acts.
However, going deeper into the meaning of selfish, I'd say that all people are selfish. Whatever people do is their will, things that they like. Even in seemingly selfless, even self-sacrificial acts; acts whose alternatives would have better rewards for the person, the person in question is ultimately gaining some happiness, fulfillment or self-satisfaction out of it. All acts done by free will are selfish. If not done by free will, then it would be illogical to classify it as selfish or not.