Both are the quite same. They can mean both of ability and potential. I would say the first sentence 〇〇　することが　できる　is more like a written style. You might hear this expression in books or articles more often than daily conversation. On the other hand, 〇〇れる、〇〇られる(食べられる、遊べる、使える、歩ける) is used more often in daily conversation since this expression is more simple and easier to say than the first one. Overall, I would say the first expression is slightly more formal than the second one. But it is more about the difference between writing and speaking styles.