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
Supported Platforms macOS Windows We recently introduced support for additional hosting services such as GitHub Enterprise, GitLab (Cloud, Community Edition, Enterprise Edition), and...
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