Defining cloud computing, in order to consider your connection to be one, you'll need to access data or apps over the Internet and it will be accessible to you from anywhere you are at the time. However, the cloud computing is not about your hard drive, neither it is about having a dedicated network attached storage (NAS) hardware or server in residence. It is just not the same, even if accessing NAS remotely you are using Internet.
One of the cloud computing benefits is the fact that it can be used in both individual and business areas. It is of course quite a different approach when it comes to personal usage than it is when large enterprises use cloud computing. Big companies can use things like software-as-service, or platform-as-service, or infrastructure-as-service to cover their needs for cloud computing.