For a webproject I am directly working with filezilla on the host of the site. Is it possible to add a working copy from a web url?
I don't think so. You probably need a way to access locally depending on your OS
No, Git is not designed to control working copies over a network. You might be able to make it work using some sort of network-attached storage (make the remote files appear in your local filesystem), but many people have reported problems using Git with these setups.
The better approach is to clone the repository to your local machine, and either use FileZilla to copy files up when they're ready, or use the push-to-deploy feature introduced in Git 2.3: http://krisjordan.com/essays/setting-up-push-to-deploy-with-git
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