No
To summarize what everyone else has been saying, web hosting is a service, not a form of software. This does not necessarily mean that all services are off topic though. As Franck Dernoncourt pointed out, web service recommendations such as Google Drive, Dropbox, and Github are on topicon topic. This is because these services are web applications.
What is a web application? As defined by Wikipedia:
A web application or web app is any application software that runs in a web browser or is created in a browser-supported programming language (such as the combination of JavaScript, HTML and CSS) and relies on a common web browser to render the application.
The problem here is that a web hosting service does not provide any clearly definable software and is, instead, merely a service used to host your own website. Thus, it is not on topic or within the scope of our site.