Not really. It’ll hide your IP address, and that’s it. So, if you’re logged in or using a browser that supports cookies (all of them, afaik), they can track you. If you clear your entire cache and get a new IP from your VPN, you’ll look like a similar user, but not necessarily the same.

There are other ways than cookies to track you as well, like etags, favicons, localstorage, and fingerprinting, just to name a few. So essentially, no, a VPN does not, by itself, prevent services from tracking you. It is only one single step in the right direction, but there are so many more you would need to take.