No, a VPN can't really do this for you. In fact, unless you are a very hardcore security expert, almost nothing can give you absolute anonymity online, especially if a government agency with the best tools and lots of manpower is looking for you. 

However, a VPN can offer you a step in the right direction. If you visit a website using your own IP, well now you've exposed that IP. If you used a VPN instead, then the website has the VPN IP instead. If you block trackers and tracker domains, that almost entirely eliminates you from being tracked from website to website. 

Essentially, off-the-shelf tools like Windscribe help you stay anonymous from tracking and data harvesting when surfing online. They won't help you much if someone really wants to find you. There are many other ways to hack and find you that aren't affected by Windscribe.