'Access-Control-Allow-Origin' issue when API call made from React (Isomorphic app)

I'm running into an issue with my isomorphic JavaScript app using React and Express.

I am trying to make an HTTP request with axios.get when my component mounts

componentDidMount() {
  const url = 'http://ufc-data-api.ufc.com/api/v3/iphone/fighters/title_holders';
  axios.get(url).then( res => {
    //use res to update current state
  })
}

I am getting a status 200 res from the API, but I am not getting any response data and getting an error in my console

XMLHttpRequest cannot load http://ufc-data-api.ufc.com/api/v3/iphone/fighters/title_holders. 
No 'Access-Control-Allow-Origin' header is present on the requested resource. 
Origin 'http://localhost:3000' is therefore not allowed access.

However, if I make the request in my server.js

const url = 'http://ufc-data-api.ufc.com/api/v3/iphone/fighters/title_holders';
axios.get(url).then(res => {
    //console.log(res);
});

It works fine and I get response data when the server starts. Is this an issue with the actual API or am I doing something wrong? If this was a CORS issue I'm guessing the request in server.js wouldn't work either? Thanks!